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July 3rd, 2017 - GQT Graduate School and Colloquium
Date: 3/Jul/2017 to 7/Jul/2017 Location: hotel and conference center Ernst Sillem Hoeve, den Dolder Please reserve the date. More details will follow.

June 22nd, 2017 - Quantum Probability and Information Theory - 35 years of research

June 13th, 2017 - Workshop Mathematical Physics
On the occasion of the thesis defence of Alexandr Popolitov, a workshop takes place on Tuesday, June 13, 2017 at the University of Amsterdam (Science Park 107, Amsterdam). The lecture room is F3.20.

The program is as follows:

14:30-15:30 G. Borot: The ABCD of topological recursion I
15:30-15:45 Break.
15:45-16:45 L. Chekhov: Givental action and abstract topological recursion
16:45-17:00 Break.
17:00-18:00 V. Rubtsov: Decorated character varieties and monodromy data surfaces associated with Painlevé confluented equations.

Abstract Borot: Following a recent proposal of Kontsevich and Soibelman, we study the quantization of quadratic Lagrangians in T^*V by a procedure of topological recursion. I will explain how the data of such quadratic Lagrangian is encoded into a purely Lie algebraic data, and we will see with low-dimensional examples that exhibiting such initial data is a non-trivial task. I will describe 3 geometric sources of such (quantized) Lagrangians: Frobenius algebras, non-commutative Frobenius algebras, and loop space of Frobenus algebras. Joint work with J.E.Andersen, L. Chekhov and N. Orantin.

Abstract Chekhov: I will describe how global models (my main examples will be Gaussian ensembles and Legendre systems) can be presented via the product of local models that are Airy (or Kontsevich) ensemble and BGW ensemble. The recipe is the Bogoluybov's canonical transformation (described by Givental and, for the Gaussian model, by the author in 1995). The technique is an effective tool for calculating genus corrections provided we know Kontsevich or BGW partition function. I give three examples and describe how this pattern is related to an abstract topological recursion procedure.

Abstract Rubtsov: We discuss a definition of decorated character varieties, related to representations of fundamental grouppoids constructed for affine cubic surfaces which are playing the role of monodromy data and are compatible with the pole coalescence procedure. We construct Poisson algebra structures on these surfaces and discuss various "quantisation" procedures for the algebras. My talk is based on joint works (partly, in progress) with Marta Mazzocco and Lenonid Chekhov: Ref. arXiv:1511.03851 (publ. IMRN 28 november 2016) and arXiv:1705.01447.

The defence of Alexandr Popolitov will take place on 10:00 the same day at the Agnietenkapel (Oudezijds Voorburgwal 229-231, Amsterdam). Title of the thesis: "Cohomological field theories and global spectral curves."

Everybody is welcome!

June 1st, 2017 - The 2017 Kan Memorial Lectures, Utrecht, 1-2 June

The Algebraic Topology of Diffeomorphism Groups, Ib Madsen (Copenhagen)


Thursday 1 June, Koningsberger building, Pangea Lecture Theater

15.00: Tea

15.30-16.30: Colloquium Lecture; The algebraic topology of the moduli space of Riemann surfaces,

16.30: Drinks in the Library

Friday 2 June, Hans Freudenthal Building, room 611

11.00-12.00: Homological properties of diffeomorphism groups of simply connected manifolds

15.00-16.00: Rational homotopy theory and block diffeomorphism groups

May 11th, 2017 - Higher geometric structures along the Lower Rhine IX, May 11-12, RU Nijmegen

We would like to announce the ninth workshop of the series on "Higher Geometric Structures along the Lower Rhine", jointly organized by geometers and topologists from Bonn, Nijmegen, and Utrecht.
The meeting will be held at Radboud University Nijmegen, on May 11-12, 2017.

The focus of this workshop series lies on the development and application of new structures in geometry and topology such as Lie groupoids, differentiable stacks, Lie algebroids, generalized complex geometry, topological quantum field theories, higher categories, homotopy algebraic structures, higher operads, derived categories, and related topics.

The speakers are:
Francesca Arici
Michael Bailey
Tyrone Crisp
Honglei Lang
Milena Pabiniak
Markus Pflaum

For the registration and more information please see http://www.math.ru.nl/~sagave/higher-structures-IX/

March 14th, 2017 - Topology/geometry seminar: Ezra Getzler will give a talk on The derived Maurer-Cartan locus

Abstract: This talk is based on a recent paper in l’Enseignement Mathématique of this title. There are two models for derived schemes: differential graded manifolds and cosimplicial manifolds. The cosimplicial formalism is more general: in this talk, I construct a functor from differential graded Lie algebras to cosimplicial manifolds which represents the derived Maurer-Cartan locus. The talk will be a very gentle introduction to this subject: some background in the theory of simplicial and cosimplicial abelian groups is useful but not required.

date: 16 March

time: 13.15-15.00

place: HFG 610

As always, all interested are welcome.

Ieke Moerdijk

November 30th, 2016 - Workshop on generalized geometry

We are organizing a mini workshop on the occasion of Joey van der Leer Duran's graduation.

The meeting will take place in the Sonnenborgh Observatorium on the 30th of November. The speakers will be Gueo Grantcharov, Ioan Marcut and Brent Pym.

Registration is free and people attending the workshop will be provided with coffee and lunch. To help us with the planning, please register if you intend to come.

November 28th, 2016 - GQT school and colloquium

will take place in Ernst Sillem Hoeve Hotel and Conference Center form the 28th of November to the 2nd of December.

School lectures will be:

Martijn Kool --- Toric varieties and equivariant vector bundles

Suijlekom & Arici --- Noncommutative geometry and gauge theories

Gerard van der Geer --- Modular forms

See the event webpage for registration and further details.

November 25th, 2016 - Workshop: The Big Picture (on the occasion of Jan Stienstra's retirement)

Date: Friday November 25, 2016 (10.30-17.30).
Raf Bocklandt (UvA)
Vasily Golyshev (Moscow)
Anton Mellit (Trieste)
Duco van Straten (Mainz)


Participation in this symposium is open and free to all interested, but registration is required.

Please register by sending an email to science.secr.mathins@uu.nl as soon as possible. Mention in this email "JS65". Lunch (Yes or No; Also, if you have special dietary requirements, please let us know). For more information click on the link above.

September 30th, 2016 - mini-workshop on symplectic geometry
On September 30 we will organize a mini-workshop on symplectic geometry at the VU Amsterdam. It is aimed at researchers, Ph.D. students, and advanced master's students working in symplectic geometry and related areas. The speakers are:

Hansjörg Geiges (Universität zu Köln)
Urs Frauenfelder (Universität Augsburg)
Alexander Ritter (University of Oxford)
Lev Buhovski (Tel Aviv University)

* If you are interested in participating then please register.

Please indicate if you will join us for dinner.


Oliver Fabert (VU Amsterdam)
Fabian Ziltener (Universiteit Utrecht)

June 6th, 2016 - GQT School and Colloquium
The next

GQT school and colloquium

will take place in Woudschoten Hotel and Conference Center form the 6th to 10th of June.

School lectures will be:

Ioan Marcut --- Dirac Structures

Gert Heckman --- Complex reflexion groups

Nicolai Reshetikhin --- BV-quantization

See the event webpage for registration and further details.

June 2nd, 2016 - 2nd Kan memorial lectures

We are honoured that Graeme Segal (Oxford) will give the 2nd Kan Memorial Lectures at Utrecht University.
The lectures start with a colloquium style talk on 2 June, in the Atlas Lecture Theater, Koningsberger building

The Ubiquity of Homotopy, 15.30-16.30

Refreshments beforehand from 15.00-15.30
Drinks afterwards from 16.30-17.00 in the mathematics library

two more specialised lectures will follow on
Friday 3 June, in The Hans Freudenthal building, room 611

Aspects of non-commutative geometry, 11.00-12.00


Higher structures in homotopy theory, 15.00-16.00

Much of mathematics is about discovering robust kinds of structure which organize and illuminate large areas of the subject. Perhaps the most basic organizing concept of our thought is space. It leads us to the homotopy category, which captures many of our geometric intuitions but also arises unexpectedly in contexts far from ordinary spaces. Still more is this true of the `stable homotopy' category, which sits midway between geometry and algebra.
The theme of my lectures is the strangeness and the ubiquity of the homotopy and stable homotopy categories, and how they give us new ideas of what a space is, and why manifolds and spaces with algebraic structure play such a special role. The first lecture will be a non-technical survey of things discussed in more detail in the following two, such as the dual ways of thinking of a space in terms of the paths in it and in terms of its algebra of functions; also, what abstract homotopy theory is, and how it leads us to new geometrical ideas and new analogues of the stable homotopy category.
One of the biggest steps in disengaging homotopy from spaces was Kan's theory of simplicial objects; a subtheme is the diff erent ways in which this can be viewed and the di fferent directions in which it can lead.
The second lecture focuses on the relation between spaces and their algebras of functions, algebraic K-theory, and the nature of noncommutative spaces and `quantization' - what it means for a noncommutative object to be a deformation of a normal space. We see how the stable homotopy category sits inside a noncommutative stable category. I shall speculate on the place of Floer homotopy theory in this picture.
The third lecture is partly about how manifolds relate to stable homotopy, and the role of Poincare duality and quadratic forms. It is also about the `higher homotopies' which lie below the surface of the naive homotopy category. This is another angle on the interpolation between commutativity and noncommutativity, more from the perspective of traditional algebraic topology.

June 2nd, 2016 - Topics in the Langlands Correspondence

Workshop on June 2nd and 3rd at the University of Amsterdam, Kortweg de Vries Institute on the occasion of the Ph.D. defense of Marcelo G. De Martino

Location SP 107, room F3.20

Thursday 02/06
15:00-16:00: Gordan Savin (University of Utah)
16:15-17:15: Erik van den Ban (Universiteit Utrecht)

Friday 03/06
10:00-11:00: Dipendra Prasad (Tata Inst. of Fund. Research)
11:15-12:15: Anne-Marie Aubert (Inst. Mathématiques de Jussieu)

Gordan Savin: TBA

Erik van den Ban: TBA

Dipendra Prasad: A relative Local Langlands correspondence.
Abstract: For E/F quadratic extension of local fields, we consider the question of classifying irreducible admissible representations of G(E) which carry a G(F)-inv. linear form. Although in a certain generic sense, one expects a simple answer - multiplicity 1, and exact characterization, the full answer is rather complicated - and interesting, involving geometry of Langlands parameters.

Anne-Marie Aubert: Cuspidality and Hecke algebras for enhanced Langlands parameters
Abstract: Enhanced Langlands parameters for a p-adic group G are pairs formed by a Langlands parameter for G and an irreducible character of a certain component group attached to the parameter. We will introduce a notion of cuspidality for these pairs, describe a construction of a cuspidal support map for enhanced Langlands parameters, and attach an almost affine Hecke algebra to every cuspidal support. It is joint work with Ahmed Moussaoui and Maarten Solleveld.

April 22nd, 2016 - 10th Belgian-Dutch Algebraic Geometry Day
Friday April 22 in Leuven: 10th edition of the Belgian-Dutch Algebraic Geometry Days. Speakers: Sho Tanimoto (Copenhagen), John Christian Ottem (Oslo), Bruno Chiarellotto (Padova).

April 4th, 2016 - Gauge Theory and Noncommutative Geometry

4-8 April 2016 at the Radboud University Nijmegen.

More details can be found here

If you're interested in coming, please let us know by filling in the registration form.

Organizing committee
Simon Brain
Klaas Landsman
Walter van Suijlekom

March 11th, 2016 - Mini-Workshop on Symplectic Geometry

This mini-workshop is aimed at researchers, Ph.D. students, and advanced master's students working in symplectic geometry and related areas. It is organized jointly with the Vrije Universiteit Amsterdam.

This is the third workshop that we are organizing. These mini-workshops take place biannually. The goal is to strengthen the symplectic community of the Netherlands and to connect it with abroad. Topics include Hamiltonian dynamics, the symplectic embedding question, holomorphic curves, and Floer homology.


Claude Viterbo (ENS Paris)
Janko Latschev (Universität Hamburg)
Yaron Ostrover (Tel Aviv University)
Chris Wendl (University College London)


Oliver Fabert (Vrije Universiteit Amsterdam)
Fabian Ziltener (Universiteit Utrecht)

Please register by March 3!

For any question please contact Oliver Fabert at o.fabert ``at'' vu.nl and Fabian Ziltener at f.ziltener ``at'' uu.nl .

January 25th, 2016 - Winter school: Banach methods in noncommutative geometry

From 25th-29th January, 2016 we have organized a winter school in Münster entitled Banach methods in noncommutative geometry: isomorphism conjectures and geometry of groups. The school is aimed at PhD students and postdocs as well as M.Sc. students continuing in academia. We will focus on the connection between Banach/operator space methods as approximation properties and geometric properties of groups and their connection to problems as the Baum-Connes and conjecture. We welcome young researchers in these, and neighbouring areas to participate.

Lectures are given by:
-Siegfried Echterhoff (Münster)
-Erik Guentner (Hawaii)
-Michael Puschnigg (Aix-Marseille)
-Mikael de la Salle (ENS Lyon)
-Guoliang Yu (Texas A&M)

Please register here

For information on funding we refer you to the website. The workshop has been organized together with the ANR SingStar project. Please feel free to forward the announcement to people who may be interested.

Organizer: Martijn Caspers, Maria-Paula Gomez, Pierre-Yves Le Gall, Walther Paravicini

November 30th, 2015 - Monday afternoon with lectures on Special Functions

13:45-14:30 Noud Aldenhoven (Radboud Universiteit) Explicit matrix inverses involving continuous q-ultraspherical polynomials and quantum groups


15:00-15:45 Tom Koornwinder (Universiteit van Amsterdam) Solutions of the system of pde's voor Appell F_2 and their integral representations (partially following Olsson and Diekema)

16:00-16:45 Mourad Ismail (University of Central Florida & King Saud University) Rogers-Ramanujan Identities

Location: HG00.310, Huygensgebouw, FNWI
Radboud Universiteit, Nijmegen,

You are all cordially invited!

A dinner in downtown Nijmegen is planned, please email E. Koelink if you plan to join.

November 12th, 2015 - Moduli spaces and Arithmetic Geometry: celbrating "FO80"
On Thursday, November 12, there will be a special afternoon to celebrate the 80th birthday of Frans Oort. There will be two lectures aimed at a broad audience of mathematicians. We are very honored to have

Aise Johan de Jong (Columbia University, New York) and Don Zagier (MPI Bonn and ICTP Trieste)
as speakers this afternoon. Everyone interested is cordially invited, but if you wish to attend, please register at


The afternoon will be concluded with a reception.

The talks are given in the De Sitterzaal (ground floor Oort building, Niels Bohrweg 2, Leiden)

14:00 -- 15:00 Aise Johan de Jong (title TBA)
15:00 -- 15:30 coffee break
15:30 -- 16:30 Don Zagier (title TBA)
16:30 -- 18:00 reception in front of the De Sitterzaal

This special afternoon is part of the Lorentz workshop 'Moduli spaces and Arithmetic Geometry' that is held from 9 till 13 November.

Due to an overwhelming interest in this workshop, it is no longer possible to register as a participant, though it is possible to attend individual lectures.

October 26th, 2015 - GQT graduate school and colloquium

GQT School

Stefan Behrens and Ralph Klaasse --- Four-manifolds

Oliver Fabert --- Floer theory

Erik Koelink --- Quantum groups

GQT colloquium

Speakers for the colloquium include: Martijn Caspers, Kenny de Commer, Kim Froyshov, Peter Hochs, Vicky Hoskins.

October 7th, 2015 - Mini-Workshop on Symplectic Geometry

September 24th, 2015 - Higher Geometric Structures along the Lower Rhine VI

Higher Geometric Structures along the Lower Rhine VI will take place in Van der Valk Hotel De Bilt/Utrecht on September 24-26.

Matija Basic
Yael Fregier
Benoit Fresse
Vladimir Hinich
João Nuno Mestre
Steffen Sagave
Cornelia Vizman
Yannick Voglaire
Marco Zambon

September 1st, 2015 - Student Seminar: Albebraic Geometry and Homotopy theory

June 1st, 2015 - Workshop "Geometric Invariants and Spectral Curves"
On June 1-5 there is a workshop "Geometric Invariants and Spectral Curves" at the Lorentz Center, Leiden. Part of this workshop is specially targeted for PhD students. Everybody is welcome!

June 1st, 2015 - GQT Graduate School and Colloquium

School (1 Jun -- 3 Jun)

Erik van den Ban: Lie groups and homogeneous spaces (1 Jun)

Ieke Moerdijk: Axiomatic homotopy theory (2 Jun)

Oliver Roendigs: A1-homotopy theory and vector bundles (3 Jun)

Colloquium (4 & 5 Jun)

Kan Lectures by Michael Hopkins.

Other confirmed speakers: David Gepner, Jeremiah Heller, Martijn Kool, Henrik Schlichtkrull, Roland van der Veen.

May 26th, 2015 - Workshop on mathematical physics
On May 26-28 there is a workshop on mathematical physics at the University of Amsterdam. Everybody is welcome!

April 28th, 2015 - Geometry Seminar

March 12th, 2015 - Mini-Workshop on Symplectic Geometry, Universiteit Utrecht

This mini-workshop is aimed at researchers, Ph.D. students, and advanced master's students working in symplectic geometry and related areas. It is organized jointly with the Vrije Universiteit Amsterdam.

This is the first instance of what we plan to make a biannual tradition. The goal of these mini-workshops is to strengthen the symplectic community of the Netherlands and to connect it with abroad. Topics will include Hamiltonian dynamics, the symplectic embedding question, holomorphic curves, and Floer homology.


Kai Cieliebak (Universität Augsburg)
Felix Schlenk (Université de Neuchâtel)
Rob van der Vorst (Vrije Universiteit Amsterdam)
Frol Zapolski (University of Haifa)


Oliver Fabert (Vrije Universiteit Amsterdam)
Fabian Ziltener (Universiteit Utrecht)

For any questions please contact Oliver Fabert at o.fabert ``at'' vu.nl and Fabian Ziltener at f.ziltener ``at'' uu.nl .

This mini-workshop is supported by the Universiteit Utrecht, the Vrije Universiteit Amsterdam, and the Geometry and Quantum Theory Cluster.

February 13th, 2015 - Workshop on Algebraic Geometry

November 14th, 2014 - GQT Graduate School and Colloquium
3 - 5 Novmber 2014: GQT graduate school

6 - 7 November 2014: GQT Colloquium

location: NH Zandvoort, Zandvoort

website: GQT colloquium

The school will focus on three topics:

- Maarten Solleveld: p-adic groups (3 Nov)

- Jasper Stokman: Quantum integrable systems (4 Nov)

- Andre Henriques: K-theory (5 Nov)

The colloquium will consist of several talks related to the topics discussed during the school as well as some talks on general GQT themes. For details, visit the event's webpage.

Both events are aimed primarily at GQT-members, with the school aiming especially at PhD-students.

July 7th, 2014 - Integrability and Isomonodromy in Mathematical Physics
A workshop at the Lorentz Center. More information to follow.

July 2nd, 2014 - GQT Graduate School and Colloquium

30 June - 2 July 2014: GQT graduate school

3 - 4 July 2014: GQT Colloquium

location: Woudschouten conference center, near Zeist

website: http://www.projects.science.uu.nl/GQT/GQT_colloquium

The school will focus on three topics:

- Raf Bocklandt: Mirror symmetry

- Carel Faber: Gromov-Witten invariants in algebraic geometry

- Ben Moonen: Hodge structures

The colloquium will consist of several talks related to the topics discussed during the school as well as some talks on general GQT themes. The speakers are:

Chris Peters, Jozef Steenbrink, Barbara Fantechi, Tom Coates, Silvia Sabatini, Nathalie Wahl, Ed Segal, Mingmin Shen and Stefan Vandoren.

Both events are aimed primarily at GQT-members, with the school aiming especially at PhD-students.

June 19th, 2014 - Higher Geometric Structures along the Lower Rhine V

This meeting will take place in Nijmegen from June 19-20, 2014

Larry Breen (Paris 13)
Yonatan Harpaz (Nijmegen)
Ralph Kaufmann (Purdue and MPIM)
Pascal Lambrechts (Louvain-la-Neuve)
Silvia Sabatini(Lisbon)
Urs Schreiber (Nijmegen)
Daniele Sepe (Utrecht)

Participation is free, but registration is necessary for the obvious logistic reasons. For further information, see


June 16th, 2014 - Workshop on Instanton Counting: Moduli Spaces, Representation Theory and Integrable Systems
Over the last 30 years there have been remarkable instances where physical theories provided a formidable input to mathematicians, off ering the stimulus to the creation of new mathematical theories, and supplying strong evidence for highly nontrivial theorems. An example of this kind of interaction between mathematics and physics is gauge theory, and, in particular, instanton counting. This refers to the study of the relevant partition functions (such as the Nekrasov partition functions) in gauge theory by using an algebro-geometric approach, and is related to some highly nontrivial mathematical problems (such as the Alday- Gaiotto-Tachikawa conjecture) which come from physical issues in gauge and conformal field theory.

This workshop aims at assessing the state of the art in this area of research in its various aspects. In particular, it focuses on various aspects of the geometry of the moduli spaces of framed sheaves and of Nakajima quiver varieties, of their relations to integrable systems, of the instanton counting on toric surfaces and of the AGT conjecture. We believe that a more fruitful interaction between the different communities of people working in these fields will strengthen them individually and collectively.

Invited speakers: Alexander Belavin, Mikhail Bershtein, Alexander Braverman, Erik Carlsson, Duiliu Emanuel Diaconescu, Michael Finkelberg, Evgeny Gorsky, Weiping Li, Hiraku Nakajima, Mattia Pedrini, Rubik Poghosyan, Giulia Saccà, Justin Sawon, Richard J. Szabo, Alessandro Tanzini, Eric Vasserot, Niclas Wyllard

For more information and registration please go to the web-page of the Lorentz Center.

May 20th, 2014 - Workshop "Knots and Physics"
On May 20-21, 2014, we have a workshop "Knots and Physics" on the occasion of the thesis defense of Alexey Sleptsov. The speakers are A. Brini, V. Dolotin, E. Gorsky, A. Mironov, A. Morozov, J. Rasmussen, A. Sleptsov, P. Sulkowski, and P. Zinn-Justin.

The schedule, titles and abstracts are available at the following link:

Everybody is welcome!

March 18th, 2014 - IMAPP Colloquium Alain Connes, Radboud University Nijmegen
Title: 'The spectral model of particle physics' Time: 16:00 Place: Radboud University Nijmegen - Huygensgebouw HG00.304

February 13th, 2014 - 4th workshop Higher Geometric Structures along the Lower Rhine
Announcing the fourth workshop of the series "Higher Geometric Structures along the Lower Rhine", jointly organized by the Geometry/Topology groups in Bonn, Nijmegen, and Utrecht. This meeting will be held at the Max Planck Institute for Mathematics in Bonn on February 13-14, 2014.

Dimitri Ara (Nijmegen)
Michael Batanin (Macquarie University, Sydney/MPIM)
Pedro Frejlich (Utrecht)
Bas Janssens (Utrecht)
Martin Markl (Prague/MPIM)
Eckhard Meinrenken (University of Toronto)
Matan Prezma (Nijmegen)

For registration and more information please visit the website: http://www.mpim-bonn.mpg.de/node/5119

January 30th, 2014 - Conference: The geometry of special functions
A two-day conference in Nijmegen, 30--31 January 2014

Masaaki Yoshida (Kyushu University, Fukuoka)
Daniel Allcock (University of Texas, Austin)
Duco van Straten (Johannes Gutenberg Universität Mainz)
Michele Vergne (Institut de Mathématiques de Jussieu, Paris)
Michel Duflo (Institut de Mathématiques de Jussieu, Paris)
Jasper Stokman (Universiteit van Amsterdam and Radboud Universiteit Nijmegen)
Jan Stienstra (Universiteit Utrecht)
Frits Beukers (Universiteit Utrecht)

Eduard Looijenga, Eric Opdam and Maarten Solleveld

January 23rd, 2014 - Workshop "Moduli of curves and mathematical physics"
On the occasion of the thesis defense of Loek Spitz, a workshop takes place on Thursday, January 23, 2014 at the University of Amsterdam (Plantage Muidergracht 24, 1018 TV Amsterdam, N.B.: This is OLD LOCATION of the KdV Institute). The lecture room is P0.18.

The program is as follows:

14:00-15:00 Alessandro Chiodo (Paris): Applications of quantum theories of Landau-Ginzburg models
15:00-15:15 Break.
15:15-16:15 Dimitri Zvonkine (Paris): The Chern character of the Verlinde bundle
16:15-16:30 Break.
16:30-17:30 Motohico Mulase (Davis): Quantum curves for Hitchin fibrations

Abstract Chiodo: Landau-Ginzburg models are singularities of the form f:X->B arising for instance as mirror partners of several Fano manifolds. More precisely, we consider mirror symmetry as an identification of two local systems. The first local system is classical in algebraic geometry and encodes the cohomology of the fibres of f:X->B. The second local system embodies quantum periods of the Fano manifold and arises from Gromov-Witten theory. Fan-Jarvis-Ruan and Polishchuk-Vaintrob set up analogue quantum theories applying also to Landau-Ginzburg models and allow us to cast mirror symmetry in a global, more flexible, framework. In this way some well known obstacles in Gromov-Witten theory become more approachable. In particular we will illustrate "non-convexity" and "non-concavity", which are some of the main outstanding obstacles preventing us from knowing Gromov-Witten invariants in many major examples such as the quintic threefold in higher genus. I will describe recent work by Jérémy Guéré proving a mirror theorem relating certain Landau-Ginzburg models without concavity.

Abstract Zvonkine: We give an explicit formula for the total Chern character of the Verlinde bundle over the moduli space of stable curves in terms of tautological classes. The Chern characters of the Verlinde bundles form a semi-simple CohFT, while their ranks, given by the Verlinde formula, form a semi-simple fusion algebra. According to the Teleman's classification of semisimple CohFTs, there exists an element of Givental's group that transforms the fusion algebra into the CohFT. We determine this element using the first Chern class of the Verlinde bundle on the space of smooth curves, and the projective flatness of the Hitchin connection.
(Joint with A. Marian, D. Oprea, R. Pandharipande, A. Pixton)

Abstract Mulase: The quantum curves for SL(2)-Hitchin fibrations were constructed in October 2013 in a joint paper with Olivia Dumitrescu. In this talk we discuss two most recent topics in this direction of research: one is the action of the monodromy group of the Hitchin fibration on the family of quantum curves, and the other is a generalization of the theory to parabolic Hitchin fibrations. This research is motivated by understanding the AGT correspondence from the point of view of quantum curves.
The talk is based on the on-going joint work with Dumitrescu and Laura Schaposnik.

The defence of Loek Spitz will take place on 10:00 the same day at the Agnietenkapel (Oudezijds Voorburgwal 229-231, 1012 EZ Amsterdam). Title of the thesis: "Hurwitz numbers, moduli of curves, topological recursion, Givental's theory and their relations.".

Everybody is welcome!

January 14th, 2014 - GQT Graduate School and Colloquium
The first GQT Graduate School (14-16 Jan) and Colloquium (17-18 Jan) will take place at Woudschoten conference center in Zeist.
Tutorials during the school:

  • Klaas Landsman: What is noncommutative geometry?
  • Hessel Posthuma: What is index theory?
  • Fabian Ziltener: What is Gromov-Witten theory?

Confirmed speakers for the colloquium: Peter Albers (Muenster); Alessandro Chiodo (Jussieu); Xin Li (Queen Mary); Richard Sharp (Warwick); more to follow.

For information on registration, schedule and more see the event's webpage.

December 17th, 2013 - Workshop on Algebraic Cycles and Tautological classes

Tuesday the 17th and Wednesday the 18th of December on the occasion of Qizheng Yin's defence of his doctors thesis.
The defence will be on the Wednesday.

Speakers (December 17th)
Gerard van der Geer (Amsterdam)
Dan Petersen (Zürich)
Arnaud Beauville (Nice)
Qizheng Yin (Nijmegen)

Speakers (December 18th)
Lenny Taelman (Leiden)
Claire Voisin (École Polytechnique)
Sergey Shadrin (Amsterdam)

November 22nd, 2013 - Belgian-Dutch Algebraic Geometry Day
The lectures are given in the Huygens Building, room HG00.071 on the ground floor.
Address: Heyendaalseweg 135, Nijmegen.

13:00-14:00 Nero Budur (Leuven) TBA
14:00-14:30 Coffee break
14:30-15:30 Stefan Schröer (Düsseldorf) TBA
15:30-16:00 Coffee break
16:00-17:00 René Schoof (Rome) TBA
As usual, after the lectures we intend to go for an informal dinner in town.

November 21st, 2013 - Workshop on Foliations and Orbispaces, 21-22 November
The focus of this short workshop lies on (possibly singular) foliations are their leaf spaces, both from a classical perspective (\Gamma-structures, Riemannian foliations,..) and a modern one (Lie groupoids).
Gael Meignez (Bretagne-Sud)
Marcos Alexandrino (Sao Paulo)
Hessel Posthuma (Amsterdam)
Matias del Hoyo (Utrecht)
Marco Zambon (Madrid)

October 17th, 2013 - Higher Geometric Structures along the Lower Rhine III

This is the third in a series of short workshops jointly organized by the Geometry/Topology groups in Bonn, Nijmegen, and Utrecht, all situated along the Lower Rhine. The focus lies on the development and application of new structures in geometry and topology such as Lie groupoids, di fferentiable stacks, Lie algebroids, generalized complex geometry, topological quantum fi eld theories, higher categories, homotopy algebraic structures, higher operads, derived categories, and related topics. The first workshop took place in Bonn and the second in Nijmegen.

Camilo Arias Abad (Bonn)
Javier Gutiérrez (Nijmegen)
Matias del Hoyo (Utrecht)
Arturo Prat-Waldron (Bonn)
Gregor Schaumann (Universität Erlangen-Nürnberg)
Pavol Ševera (Université de Genève)
Anton Zeitlin (Columbia University)

October 14th, 2013 - Workshop Noncommutative Geometry and Particle Physics, Leiden
Lorentz Center Leiden, October 14-18, 2013.


  • The Higgs Sector and its Experimental Status
  • Phenomenology of Electroweak and Strong Forces
  • The Noncommutative Standard Model
  • Particle Physics: Beyond the Standard Model
  • Family Structure of Particle Physics
  • Gravity and Noncommutative Geometry

    Scientific organizers:
  • Thijs Van den Broek (Nijmegen, The Netherlands)
  • Alain Connes (Bures-sur-Yvette, France)
  • Jose Gracia-Bondia (Zaragoza, Spain)
  • Piet Mulders (Amsterdam, The Netherlands)
  • Walter Van Suijlekom (Nijmegen, The Netherlands)

    September 27th, 2013 - Workshop Knots & Physics, Amsterdam

    Gaetan Borot (MPI Bonn),
    Jinseok Cho (KIAS Seoul),
    Sebas Eliens (ITF Amsterdam),
    Hitoshi Murakami (Tohoku University),
    Satoshi Nawata (NIKHEF Amsterdam).

    Organisers: Satoshi Nawata and Roland van der Veen

    July 15th, 2013 - Workshop "Elliptic Integrable Systems and Hypergeometric Functions"
    5 day workshop from July 15th - 19th, 2013. Scientific organizers: Erik Koelink, Masatoshi Noumi, Eric Rains, Hjalmar Rosengren, Simon Ruijsenaars, Jasper Stokman.

    June 27th, 2013 - A singular life - Conference in honour of Eduard Looijenga
    This two-day conference (27 & 28 of June) marks the retirement of Professor Eduard Looijenga and will be a celebration of his achievements and influence in Dutch and International mathematics. The confirmed speakers are Arnaud Beauville (Laboratoire J.-A. Dieudonné, Nice), Igor Dolgachev (University of Michingan), Carel Faber (Royal Institute of Technology, Stockholm), Gerard van der Geer (University of Amsterdam), Gert Heckman (Radboud Universiteit Nijmegen), Joseph Steenbrink (Radboud Universiteit Nijmegen), Jonathan Wahl (University of North Carolina), Shing-Tung Yau (Harvard University) Don Zagier (Max Planck Institute -- Bonn)

    June 21st, 2013 - G&T day - Utrecht
    The Quarterly seminar on Topology and Geometry aims to take place every bimester in the mathematics department in Utrecht. Our next meeting will happen on the 21st of June 2013 in MIN 211.

    The speakers will be Jonny Evans, Igor Khavkine and James Tener.

    June 5th, 2013 - Mini Workshop on locally analytic representations and some applications

    June 5-6, 2013, at Vrije Universiteit Amsterdam

    supported by the DIAMANT cluster*

    Organizers: Deepam Patel (VU Amsterdam), Tobias Schmidt (Munster), Matthias Strauch (Indiana)

    * funded by the Netherlands Organisation for Scientific Research (NWO), the Ministry of Education, Culture and Science (OCW), and the Ministry of Economic Affairs (EZ).

    May 23rd, 2013 - Topology & Geometry Day on the occasion of Maria Amelia Salazar's Ph.D. defense

    May 17th, 2013 - GQT colloquium Utrecht

    Place: Universiteit Utrecht; Minnaert Building, room 208.


    13:00 to 14:00 - Kim Froyshov (Aarhus): On the existence of representations of finitely presented groups in compact Lie groups;

    14:00 to 14:30 - Coffee;

    14:30 to 15:30 - Moritz Groth (Nijmegen): Some first steps with Grothendieck derivators;

    15:45 to 16:45 - Matthias Kreck (Hausdorff Institute): Special codes - special manifolds?

    April 26th, 2013 - Workshop "Moduli of curves and integrable hierarchies"
    On the occasion of the thesis defense of Alexandr Buryak, a workshop takes place on Friday, April 26 at the University of Amsterdam (Plantage Muidergracht 24, 1018 TV Amsterdam, N.B.: This is OLD LOCATION of the KdV Institute). The lecture room is P0.14.

    The program is as follows:

    13:15-14:15 Maxim Kazarian (Moscow): Topological recursion for the genus zero descendant Hurwitz potential.
    14:15-14:45 Coffee and tee.
    14:45-15:45 Johan van de Leur (Utrecht): Hirota equations for the extended bigraded Toda hierarchy and the total descendant potential of CP^1 orbifolds.
    16:00-17:00 Dimitri Zvonkine (Paris): A (complete?) family of relations between tautological cohomology classes of Mbar_{g,n}

    Abstract Kazarian: Double Hurwitz numbers enumerate possible ways to represent the identical permutation as the product of two permutations of given cyclic types and a given number of transpositions. In topological terms, they describe topologically distinct meromorphic functions on Riemann surfaces of given genus with prescribed critical values and prescribed orders of poles and zeroes. These numbers themselves are well studied and there are known formulas for their generating function. In spite of the existence of such formulas and a variety of modern proofs, many natural questions concerning these numbers remain open.
    We propose a new recursion for these numbers that has a topological origin: it is derived from cohomological information contained in the stratification of the Hurwitz space by multisingularities of the functions. We expect that variations of this approach could be adopted to other families of Hurwitz numbers for which closed formulas are not known at the moment, including those for curves of higher genera.
    (Joint work with S.Lando and D.Zvonkine)

    Abstract van de Leur: Milanov and Tseng conjectured that the total descendent potential of the orbifold C_{k;m} is a tau function of the extended bigraded Toda hierarchy. We prove this conjecture.
    (Joined work with Guido Carlet)

    Abstract Zvonkine: Let M_g be the moduli space of smooth curves of genus g. As g tends to infinity, the cohomology ring of M_g stabilizes to Q[kappa_1, kappa_2, ...] for certain natural cohomology classes kappa_m. For a fixed g, however, there are polynomial relations between the kappa-classes. The study of these relations was started by C. Faber in 1993 and is still not finished 20 years later.
    We can complicate the problem by adding marked points and passing to the Deligne-Mumford compactification of the moduli space, which greatly increases the number of generators and relations. We will construct a family of relations between these generators that contains all known relations and, conjecturally, all existing relations. The construction involves r-spin structures (r-spin = r-th root of the cotangent line bundle to the curve) and Frobenius manifolds.
    (Joint work with A. Pixton et R. Pandharipande)

    The defence of Alexandr Buryak will take place on 10:00 at the Agnietenkapel (Oudezijds Voorburgwal 229-231, 1012 EZ Amsterdam). Title of the thesis: "Topology of the moduli space of curves and integrable hierarchies".

    Everybody is welcome!

    March 28th, 2013 - Operations on Hochschild complexes, revisited

    Speaker: Boris Tsygan (Northwestern University)

    Date and time: Thursday, March 28th, 2013 from 16:00-17:00hrs

    Location: UVA, Science Park 904, Room A1.06

    Title: Operations on Hochschild complexes, revisited.

    Abstract: Algebraic structures on Hochschild cochain and chain complexes of algebras are long known to be of considerable interest. On the one hand, some of them arise as standard operations in homological algebra. On the other hand, for the ring of functions on a manifold, Hochschild homology, resp. cohomology, is isomorphic to the space of differential forms, resp. multivector fields, and many algebraic structures from classical calculus can be defined (in a highly nontrivial way) in a more general setting of an arbitrary algebra and its Hochschild complexes. Despite an extensive amount of work on the subject, it appears that large parts of the algebraic structure on the Hochschild complexes of algebras and their tensor products are still unknown. I will review the known results (Kontsevich-Soibelman, Dolgushev, Tamarkin and myself, Keller) and then outline some provisional results and conjectures about new operations. The talk will not assume any prior knowledge beyond basic facts about complexes and (co)homology.

    March 1st, 2013 - GQT colloquium Nijmegen
    place: Radboud Universiteit Nijmegen, Huygensgebouw
    time: 13:00 - 17:00
    room: HG00.108

    13:00 - 14:00 Christian Voigt (University of Glasgow)
    The string group and vertex algebras
    The string group String(n) is an infinite dimensional analogue of the spin group Spin(n) familiar from geometry and index theory. In this talk I will discuss a tentative realisation of String(n) using unitary vertex superalgebras and field algebras. This includes a categorified analogue of the Clifford algebra and its spinor representation, and I will explain carefully the analogy to the situation for the spin group.

    14:30 - 15:30 Simon Salamon (King's College London)
    Surveying points in the complex projective plane
    I shall introduce Zauner's conjecture on the existence of SIC-POVM's (symmetric informationally complete positive operator valued measures, that correspond to n^2 equidistant points in CP^(n-1) with the Fubini-Study metric). The theory will be illustrated in only the simplest situations of n=3 and 4, but from a geometer's perspective using the concept of moment mapping.

    16:00 - 17:00 Raf Bocklandt (Universiteit van Amsterdam)
    Noncommutative mirror symmetry for punctured surfaces
    A dimer model on a surface with punctures is an oriented graph such that its nodes correspond to the punctures and the arrows circle round the faces they cut out. To any dimer model Q we can associate 2 categories: A wrapped Fukaya category F(Q) and a category of matrix factorizations M(Q).
    In both categories the objects are arrows, which are interpreted as Lagrangian subvarieties in F(Q) and will give us certain matrix factorizations of a potential on the Jacobi algebra of the dimer in M(Q).
    We show that there is a duality D on the set of all dimers such that for consistent dimers the category of matrix factorizations M(Q) is isomorphic to the Fukaya category of its dual, F(D(Q)). We also discuss the connection between classical mirror symmetry.

    December 18th, 2012 - Workshop Special Functions and Lie Theory
    Speakers: Alberto Grunbaum (UC Berkeley, USA), Paul-Emile Paradan (Montpellier 2, Fr), Pablo Roman (U Nacional Cordoba, Arg), Jasper Stokman (UvA/RU), Wolter Groenevelt (TUD) and Maarten van Pruijssen (RU). PhD-defense of Maarten van Pruijssen on December 19, 2012, 10.30.

    December 6th, 2012 - 2 day seminar - Higher Geometric Structures along the Lower Rhine
    This second meeting of the seminar, jointly organised by Bonn (MPI), Nijmegen, and Utrecht, will be held in Nijmegen on December 6th and 7th 2012.

    November 16th, 2012 - GQT colloquium Amsterdam
    place: Universiteit van Amsterdam, Science Park
    time: 13:30 - 17:00

    Room G5.29
    13.30-14.30 Oscar Randal-Williams (University of Cambridge): The "Mumford conjecture" package, and applications
    14.30-15.00 Coffee break

    Room F1.02
    15.00-16.00 Daniel Huybrechts (Universität Bonn): Old and new problems in the theory of K3 surfaces
    16.15-17.15 Geordie Williamson (Max Planck Institut Bonn): Coxeter groups, Kazhdan-Lusztig polynomials and a little Hodge theory

    Abstract Randal-Williams:
    I will describe how recent work inspired by Madsen and Weiss' proof of Mumford's conjecture (on the stable cohomology of the moduli space of Riemann surfaces) gives a conceptual and computational understanding of moduli spaces of Riemann surfaces with extra structure. In particular, I will focus on two interesting examples: the moduli spaces of r-Spin Riemann surfaces, and the universal Picard variety over $M_g$. I will then explain how studying the universal Picard variety leads to a new method for producing tautological relations among the $\kappa_i$ on $M_g$.

    Abstract Huybrechts:
    In this talk I will survey a few questions that have been studied intensively for K3 surfaces over the last years. In particular, I will mention rational curves and rational points on K3 surfaces, as well as algebraic cycles and derived categories.

    Abstract Williamson:
    In 1979 Kazhdan and Lusztig described a remarkably simple yet baffling algorithm to associate a polynomial to any pair of elements in a Coxeter group. Nowadays Kazhdan-Lusztig polynomials play a central role in Lie theory. In this talk I will discuss Coxeter groups and their geometry and describe Kazhdan and Lusztig's algorithm. I will then discuss some recent work with Ben Elias where we use some ideas from Hodge theory to try to understand these polynomials.

    October 8th, 2012 - seminar Elliptic Integrable Systems and Hypergeometric Functions
    Subjects: 1. Elliptic hypergeometric functions 2. Elliptic quantum groups 3. Elliptic integrable lattice models and their interplay. Preparatory seminar for the Lorentz workshop Elliptic Integrable Systems and Hypergeometric Functions (15-19 July 2013). (Tentative) dates: 8/10, 22/10, 12/11, 19/11, 3/12, 17/12 in 3012

    July 3rd, 2012 - Lectures on the unbounded Kasparov product
    Lectures on the unbounded Kasparov product by Adam Rennie (University of Wollongong)
    Dates: July 3,5,12,17,19 and 26.
    Time: 15:45-17:15
    Place: Radboud University Nijmegen, Huygensgebouw, room HG03.632

    June 27th, 2012 - Workshop Special Functions
    One day workshop on Special Functions and related areas. Speakers: Maarten van Pruijssen (Nijmegen), Ana Martinez de los Rios (Seville), Kerstin Jordaan (Pretoria), Kenny De Commer (Cergy-Pontoise), Jasper Stokman (Amsterdam).

    June 1st, 2012 - GQT colloquium Utrecht
    Location: Minnaert building, room 208, Universiteit Utrecht.

    13.15-14.15 Jan Denef, Model theory of local fields and toroidalization of morphisms
    14.30-15.30 Florian Schätz, de Rham Theorem and higher holonomies
    15.30-16.00 Coffee and tea
    16.00-17.00 Peter Teichner, Cohomology via field theories
    17.00-18.00 Drinks in library Math building

    Peter Teichner, Cohomology via field theories
    We'll present results with Stephan Stolz on new relations between algebraic topology and physically motivated notions of field theories.

    Jan Denef, Model theory of local fields and toroidalization of morphisms
    This talk is about new proofs of some old but celebrated results in the model theory of henselian valued fields. A key example is the Ax-Kochen-Ersov transfer principle that for a given "elementary" assertion about rings we have the following for almost all primes p: the assertion is true in the ring of p-adic integers if and only if it is true in the ring of formal power series over the field with p elements. In the talk we will give an easy proof of this and related results, using a deep result in algebraic geometry, namely the theorem of Abramovich and Karu on toroidalization of morphisms.

    Florian Schätz, de Rham Theorem and higher holonomies
    I will first sketch an extension of de Rham's Theorem to an homotopy equivalence of differential graded algebras. This extension allows one to define higher holonomies for graded connections. Then I will indicate how one might use these higher holonomies in order to generalize Tamarkin's approch to the formality of the little disks operad to higher dimensions (this result was established by Kontsevich via a different approach). The last part is joint work in progress with C. Arias Abad.

    March 29th, 2012 - Workshop Quantum Groups
    There is a one-day workshop Quantum Groups on Thursday, March 29, 2012 with speakers: Martijn Caspers (Radboud U), Kenny De Commer (U Cergy Pontoise, France), Thomas Timmermann (WWU Münster, Germany), Alfons Van Daele (KU Leuven, Belgium).

    March 19th, 2012 - Workshop "Noncommutative algebraic geometry and its applications to physics"
    Topics include: Noncommutative Algebraic and Differential Geometry; Categorical Noncommutative Algebraic Geometry; Moduli Spaces in Noncommutative Geometry; Noncommutative Geometry, and Representation Theory; Applications to String Theory and Quantum Field Theory

    Speakers include Yuri Berest, Simon Brain, Lucio Cirio, Alexander Gorsky, Dmitry Kaledin, Ralph Kaufmann, Ludmil Katzarkov, Sebastian Klein, Lieven le Bruyn, Alexander Kuznetsov, Matilde Marcolli, Dmitry Orlov, Goncalo Tabuada, Paul Smith, Vladimir Sokolov, Tom Sutherland, Walter van Suijlekom, Richard Szabo, Jan Jitse Venselaar

    March 15th, 2012 - Workshop Algebraic Geometry
    On the occasion of the thesis defense of Bart van den Dries, a workshop takes place on Thursday, March 15, Room 071 of the Buys-Ballot Building.
    The program is as follows:

    14:15-14:55 Claire Voisin (Paris): Integral Hodge classes and birational invariants.
    15:05-15:55 Slava Kharlamov (Strasbourg): Abundance of real solutions in certain real enumerative problems.
    16:15-16:55 Gert Heckman (Nijmegen): On the regularization of the Kepler problem.

    Abstract Kharlamov: Surprisingly, in several real enumerative problems the number of real solutions happens to be comparable (for example, in logarithmic scale) with the number of complex ones. Such a phenomenon was first observed in the case of interpolation of real points on a real rational surface by real rational curves (here, the key tool is given by the Welschinger invariants, which can be seen as a real analogue of genus zero Gromov-Witten invariants). In this short talk I will illustrate the same phenomenon by counting real lines (or more generally, real linear subspaces) on nonsingular projective hypersurfaces and their intersections. The key tool in these counts is a kind of real version of Schubert calculus.

    Abstract Heckman: We first explain the regularization of the Kepler problem by Moser, and show how the Ligon-Schaaf regularization can be obtained from it in simple terms, as opposed to the original calculational approach by Ligon and Schaaf, even with the simplifications by Cushman and Duistermaat.

    March 2nd, 2012 - GQT colloquium Nijmegen

    Location: Linnaeus building (Heyendaalseweg 137), room LIN 3.
    13:00-14:00: Anton Deitmar (Tübingen)
    14:00-14:15: Handing out of the GQT master thesis prize
    14:30-15:30: Maarten Solleveld (Nijmegen)
    15:30-16:00: Coffee/Tea
    16:00-17:00: Christopher Deninger (Münster)
    17:00-??: Reception

    Titles and abstracts:
    Anton Deitmar: Higher order invariants and non-unitary spectral theory

    Symmetry is usually described as invariance under a group action. If the group action is linear, being symmetric is equivalent to being annihilated by the augmentation ideal of the group ring. Higher order invariants of lattices, i.e. elements which are annihilated by higher powers of the augmentation ideal, have in the last decade come into focus in the theory of automorphic forms. They arise in percolation theory and converse theorems. Spectral theory of these has two aspects: varying the lattice via Hecke-theory leads to representations of adele groups, whereas keeping the lattice fixed and varying the representation at the infinite place leads to non-unitary spectral theory. The latter is in general unworkable, but in the situation of lattices in Lie groups there is enough structure around to feed the hope for a nice theory.

    Maarten Solleveld: The p-adic Langlands correspondence for the principal series

    The local Langlands program aims at the classification of all irreducible representations of reductive groups over local fields. It was set up by Langlands in the sixties and continues to inspire much of the research in this field. Its p-adic branch, also called the p-adic Langlands correspondence, remains conjectural up to this day. It has been established in only a few cases, most noticeably for general linear groups and for irreducible representations in the principal series of split groups. We will discuss the latter, where it comes from and what makes it plausible.

    Christopher Deninger: Generalized Nevanlinna theory and invariant measures on the circle

    It is well known that real measures on the circle are characterized by their Herglotz transform, an analytic function in the unit disc. Invariance of the measure under N-multiplication translates into a functional equation for the Herglotz transform. Using elements from the theory of Hardy spaces one gets a somewhat surprising condition for a sequence of complex numbers to be the Fourier coefficients of an N-invariant measure. Next, starting from any atomless measure on the circle we construct atomless premesures of bounded kappa-variation in the sense of Korenblum which are invariant under s given pairwise prime integers. The relevant function kappa is a generalized entropy function depending on s. The proof uses Korenblum's generalized Nevanlinna theory. Passing to "kappa-singular measures" and extending these to elements in a Grothendieck group of possibly unbounded measures on the circle, one obtains generalized invariant measures which are carried by "kappa-Carleson" sets. The range of this construction depends on interesting questions about cyclicty in growth algebras of analytic functions on the unit disc. If there is time, we also discuss some very formal relations with Witt vectors. For example the Artin-Hasse p-exponential "is" a p-invariant premeasure of bounded kappa_1 variation.

    January 20th, 2012 - Mini symposium in honor of Wilberd van der Kallen
    Wilberd van der Kallen will turn 65 in January 2012. The Mathematical Institute of the University of Utrecht and the Geometry and Quantum Theory cluster will celebrate this with a mini symposium in Wilberd's honor on January 20, 2012 from 13.00-17.00 h. in room 211 of the Minnaert building, de Uithof, Utrecht.

    13.15-14.15: Prof. Jean Fasel (Mathematisches Institut der Universität München) Unimodular rows
    14.15-14.45: Coffee and tea
    14.45-15.45: Prof.Henning Haahr Andersen (Department of Mathematics, University of Aarhus) Tilting modules for reductive algebraic groups
    16.00-17.00: Prof. Antoine Touzé (Institut Galilée, Université Paris 13) Frobenius twists in higher invariant theory
    17.00-18.30: drinks in the library of the Math building

    Afterwards (19.30- ) there is a dinner in the Academiegebouw of the University of Utrecht. If you want to join (approx. 50 euro), please send an e-mail (also indicate if you have diet restrictions or if you want a vegetarian dinner) to both Jan Stienstra and Johan van de Leur (J.Stienstra@uu.nl and J.W.vandeLeur@uu.nl) before Thursday January 5.

    Jean Fasel, Unimodular rows
    Let R be a commutative noetherian ring. A projective R-module P is said to be stably free if P⊕Rn≅Rm. By induction, the study of such modules reduces to the case P⊕R≅Rs. Such modules correspond to what is called unimodular rows of rank n. We will survey W. van der Kallen's work on such rows and then present some recent developments in the subject.

    Henning Haahr Andersen, Tilting modules for reductive algebraic groups
    Let G be a reductive algebraic group over a field k, e.g. G = GLn(k). In this talk we shall describe the indecomposable tilting modules for G and discuss some of their properties. We will also point to some open problems in representation theory.

    Antoine Touzé, Frobenius twists in higher invariant theory
    Let V be a representation of the algebraic group GLn(k). If k is a field of positive characteristic, one can use the Frobenius isomorphism of x→xp to form a twisted representation V(1) of GLn(k). Such representations naturally appear in many problems from representation theory. In this talk we will explain two results where such representations play a crucial role. First they appear in the proof of van der Kallen's conjecture (now a theorem Touzé, van der Kallen) that reductive algebraic groups have finitely generated cohomology algebras. Second, extensions between such twisted representations also control the cohomology of finite Lie groups (this is a theorem by Cline, Parshall, Scott and van der Kallen). Then we will give some very recent results on the cohomological behaviour of these twisted representations.

    This page will be updated if necessary.

    January 12th, 2012 - Workshop: Higher geometric structures along the Lower Rhine, MPIM Bonn, Jan 12-13, 2012
    We would like to announce the first in a series of short workshops on higher geometric structures, jointly organized by the Geometry/Topology groups in Bonn, Nijmegen, and Utrecht, all situated along the Lower Rhine.
    The first meeting will be held at the Max Planck Institute for Mathematics, on January 12-13, 2012.

    The speakers are:
    Dennis Borisov (MPIM Bonn)
    Henrique Bursztyn (IMPA, Rio de Janeiro)
    David Carchedi (MPIM Bonn)
    Mikhail Kapranov (Yale)
    Klaas Landsman (Nijmegen)
    Stefan Schwede (Bonn)
    Chenchang Zhu (Goettingen)

    For registration and more information please go to the website of the workshop: http://www.mpim-bonn.mpg.de/node/3639

    December 9th, 2011 - GQT colloquium Amsterdam

    • 13:00‒14:00 Klaas Landsman: The mathematics of mass: from the Higgs boson to Schrödinger's cat
    • 14:30‒15:30 Jesper Grodal: Finite loop spaces
    • 15:45‒16:45 Guido Carlet: WDVV equations and 2+1 integrable systems

    Location: VU University Amsterdam, main building, 8th floor, room HG-08A04 (how do I get there?)

    Contact: Tilman Bauer


    Klaas Landsman (Radboud Universiteit Nijmegen): The mathematics of mass: from the Higgs boson to Schrödinger's cat

    Since the Higgs boson has not been found (yet), the speaker is among many who take a critical look at the Higgs mechanism that underlies the generation of mass in the Standard Model of elementary particle physics. This leads to fascinating mathematical questions involving C*-algebras, ground states, symmetry (breaking), phase transitions, and, perhaps unexpectedly, the insight that the Higgs mechanism is predicated on a solution of the infamous measurement problem in quantum mechanics (which, in a world premiere, we will present).

    Jesper Grodal (University of Copenhagen): Finite loop spaces

    Hilbert's 5th problem, in its most basic form, asks if every compact topological group, which admits the structure of a smooth manifold, is a Lie group. In this form, it was answered affirmatively by von Neumann in 1929. If one takes a homotopical interpretation of the word "admits", the question is more subtle, and one is led to the notion of a finite loop space. These turn out not quite to be Lie groups, but nevertheless posses a rich enough structure to admit a classification. My talk will outline this story, which starts with a 1941 paper of Hopf: Über die Topologie der Gruppen-Mannigfaltigkeiten und ihre Verallgemeinerungen" and ends close to the present.

    Guido Carlet (University of Copenhagen): WDVV equations and 2+1 integrable systems

    Frobenius manifolds, originating as a geometrical formulation of WDVV equations of two-dimensional topological field theory, provide an important tool to study certain dispersionless integrable systems in 1+1 dimensions. Recently there has been some progress in the program of extending the Frobenius manifold techniques to the case of integrable systems with two spatial variables, the so-called 2+1 integrable hierarchies. In this case the associated Frobenius manifold is infinite-dimensional. We will recall some basic definitions and constructions in the theory of Frobenius manifolds and, considering the example of the 2D Toda hierarchy, we will show that they extend to the infinite-dimensional case, provided that we require some analytical properties of the Lax symbols.

    November 14th, 2011 - Lecture Jun Tomiyama: A proposal for non-commutative spectral synthesis

    Time: 13.00-14.00 hr, room 412 of the Snellius building (Niels Bohrweg 1, Leiden)

    Abstract: in pdf format

    October 14th, 2011 - GQT Colloquium Utrecht
    The colloquium starts in the afternoon at 13.15 and will be held in Buys Ballot Laboratorium room 001.

    13.15-14.15: Simone Gutt Symplectic Dirac operators and Mp^c structures
    14.30-15.30: Ieke Moerdijk Infinity-Categories and Infinity-Operads
    15.30-16.00: coffee and tea
    16.00-17.00: Carel Faber Modular forms and the cohomology of moduli spaces
    17.05-18.00: drinks

    Simone Gutt: My talk will be based on some ongoing work with Michel Cahen and John Rawnsley. Symplectic spinors have been introduced by Kostant on symplectic manifolds admitting a metaplectic structure, (the metaplectic group being a double cover of the symplectic group, the analogue of the Spin group in Riemmannian geometry). In that context, K. and L. Habermann have introduced two natural Dirac operators, choosing a compatible almost complex structure and a linear connexion preserving the symplectic 2-form. The commutator of those operators is elliptic. We extend the construction of symplectic Dirac operators to any symplectic manifold through the use of Mp^c structures. The group Mp^c is the analogue of the Riemmannian Spin^c and is a circle extension of the symplectic group. Mp^c-structures exist on any symplectic manifold and equivalence classes are parametrized by elements in H^2(M,Z). For any Mp^c structure, choosing a compatible almost complex structures and a linear connection, there are two natural Dirac operators, acting on the sections of a spinor bundle, whose commutator is elliptic. Using the Fock description of the spinor space allows the definition of a notion of degree and the construction of a dense family of finite dimensional subbundles stabilized by this operator.

    Carel Faber: This will be an overview over the cohomology classes on moduli spaces of curves or abelian varieties (of low genus respectively dimension) corresponding to modular forms. Elliptic cusp forms give classes for curves of genus 1, and their generalizations, Siegel cusp forms, give classes for abelian varieties. One obtains a formula for moduli of pointed curves of genus 2 in these terms. For curves of higher genus, Teichmüller modular forms enter the picture. The related cohomology classes are still quite mysterious. (Joint work with Jonas Bergström and Gerard van der Geer.)

    June 17th, 2011 - GQT colloquium Nijmegen
    Location: RU Nijmegen, Linneausgebouw, LIN 5
    10:45-11:15 - Coffee and Tea
    11:15-12:15 - Yong-Geun Oh
    12:15-13:45 - Lunch
    13:45-14:45 - Alexander Braverman
    14:45-15:00 - Announcements of the GQT board
    15:00-15:30 - Coffee and tea
    15:30-16:30 - Erik van den Ban
    16:30-18:00 - Reception (in the Huygens building)

    Titles and abstracts:
    - Yong-Geun Oh (University of Wisconsin-Madison): Counting embedded curves in Calabi-Yau threefolds and Gopakumar-Vafa invariants
    The Gopakumar-Vafa BPS invariant is an integer invariant of the cohomology of D-brane moduli spaces on Calabi-Yau threefolds in string theory. By a conjectured relationship to Gromov-Witten theory, it is expected that the invariant coincides with the "number" of embedded (pseudo-)holomorphic curves. In this talk, we will explain how the latter integer invariants can be defined for a generic choice of compatible almost complex structures. If time permits, we will comment on the corresponding analog to the open string case and some implications on the wall-crossing phenomenon and open questions towards complete solution to the Gopakumar-Vafa conjecture.

    - Alexander Braverman (Brown University): Instanton counting and geometric representation theory
    This talk will be a survey of known results about (equivariant) cohomology and K-theory of various moduli spaces closely related to the moduli space of principal G-bundles (here G is a simply connected semi-simple algebraic group over complex number) on the projective plane trivialized at infinity (this is also the same as the moduli space on "instantons on R^4 framed at infinity"). The purpose of the talk will be two-fold: 1) Explain more precisely what kind of moduli spaces we should be talking about and explain why physicists what to integrate various cohomology (or K-theory) classes over these moduli spaces and what kind of answers they expect to get (and why). 2) Explain how one can understand the cohomology (or K-theory) of the above moduli spaces by representation-theoretic means and how this helps to prove predictions from 1 (in some cases).

    - Erik van den Ban (Utrecht): Cusp forms on reductive symmetric spaces. (joint work with Job Kuit)
    For a real reductive Lie group G, there exists a notion of cusp form, introduced by Harish-Chandra, who used this terminology to emphasize the analogy with the general theory of automorphic forms. The cusp forms coincide precisely with the discrete part of the spectral decomposition of the space of square integrable functions on G. This is in contrast with the theory of automorphic forms, where the discrete part of the spectral decomposition is built from cusp forms and residues of Eisenstein series, which in turn are built from cusp forms of lower rank subgroups. The class of reductive symmetric spaces contains that of the real reductive groups. It would be interesting to have a notion of cusp forms in this setting too. However, the definition of cusp forms is somewhat problematic due to the divergence of certain integrals. A number of years ago, M. Flensted-Jensen suggested an idea for such a definition, but the convergence of cuspidal integrals remained an unsolved issue in general. In this talk, based on ongoing joint work with Job Kuit, I will discuss this convergence problem, and present the solution for symmetric spaces of split rank 1. It turns out that in general the discrete spectrum splits into a cuspidal and a residual part.

    June 6th, 2011 - EWM summer school
    The European Women in Mathematics organise a summer school for PhD students.

    May 17th, 2011 - Special day on Lie groups
    This workshop is organized at the occasion of the thesis defense of Job Kuit, the day before.

    11:00 - 11:50, T. Kobayashi (Univ. of Tokyo): Restrictions of Verma modules to symmetric pairs and some applications to differential geometry
    13:00 - 13:50, S. Helgason (MIT): TBA
    14:10 - 15:00, H. Schlichtkrull (Univ of Copenhagen): Decay on homogeneous spaces of reductive type

    Detailed program

    May 16th, 2011 - Thesis defense of Job Kuit
    On Monday May 16, 14:30, Job Kuit will defend his thesis: "Radon transformation for reductive symmetric spaces: support theorems".

    April 8th, 2011 - GQT Colloquium
    Place: Minnaert building room 211, de Uithof, Utrecht.

    10.45 - 11.15 Coffee & tea
    11.15 - 12.15 Gerard van der Geer Modular forms for genus three
    12.15 - 14.00 Lunch
    14.00 - 15.00 Ulrike Tillmann Cobordism theory: old and new
    15.00 - 15.30 Coffee & tea
    15.30 - 16.30 Arno Kuijlaars Multiple orthogonal polynomials and random matrix eigenvalues
    16.30 - Drinks in Library Math. building

    Ulrike Tillmann
    With the work of Thom in the early 1950s cobordism theory became an important tool for the classification of smooth manifolds. Cobordisms played a very different role in the axiomatic approach to topological quantum field theory by Atiyah and Segal in the late 1980s. In this lecture I will bring these two themes together and explain how recent results shed new light on both of these.

    Arno Kuijlaars
    The Gaussian Unitary Ensemble is the simplest unitary invariant random matrix ensemble. Its eigenvalues can be analyzed in full detail with the use of Hermite polynomials. General unitary ensembles are associated with orthogonal polynomials with exponential weights. In the fundamental work of Deift et al. (1999) the steepest descent analysis of the Riemann-Hilbert problem for these polynomials was developed in order to establish universality for eigenvalue spacings. Multiple orthogonal polynomials play a similar role in certain other random matrix ensembles such as the random matrix model with external source, and the two-matrix model. I will discuss the Riemann-Hilbert problem and a vector equilibrium problem that describes the global distribution of eigenvalues and is crucial for the asymptotic analysis.

    February 18th, 2011 - Inaugural Lecture Nicolai Reshetikhin
    Title: The harmony of Mathematics and Physics

    Date/Time: Friday, February 18, 2011, 16:00
    Location: Aula of the University of Amsterdam, Singel 411

    February 18th, 2011 - GQT Colloquium
    The GQT Colloquium on Friday, February 18, 2011, will be combined with the inaugural lecture of Nicolai Reshetikhin.

    Venue: Zaal AB.44, gebouw A, Roetersstraat 15, 1018 WB Amsterdam.

    10:50-11:15 Coffee and tea
    11:15-12:15 Talk Marc Levine
    12:15-13:45 Lunch break
    13:45-14:45 Talk Michel van den Bergh

    After the last lecture everybody is invited to attend the inaugural lecture of Nicolai Reshetikhin, See "The harmony of Mathematics and Physics".


    Mark Levine: Some applications of algebraic cobordism.
    Abstract: Algebraic cobordism is a version in algebraic geometry of the topological theory of complex cobordism. Originally, it was constructed to help understand rather subtle divisibility properties of characteristic classes, which in turn leads to some interesting results on homogeneous varieties over non-algebraically closed field. Later on, Pandharipande saw how to apply this theory to solve problems in Donaldson-Thomas theory. I will describe the theory of algebraic cobordism and say a bit about its original series of applications to homogeneous varieties, then turn to the work on Donaldson-Thomas theory and conclude with some more recent work of Pandharipande, Lee and Tzeng using algebraic cobordism to study problems in Gromow-Witten theory.

    Michel van den Bergh: Formality and deformations.
    Abstract: Kontsevich's celebrated formality theorem shows that every Poisson bracket on a C^infty manifold can be quantized into a start product. For a smooth algebraic variety this is not quite true. We will discuss the algebraic version of the formality theorem and its relation to deformation theory. We will also discuss how algebraic formality may be used to prove a conjecture by Caldararu which gives an intriguing connection between algebraic geometry and Lie theory.

    December 20th, 2010 - Seminar on geometry and topology (UU)

    Date: Monday 20 December
    Place: room 611, Mathematics Building, Utrecht


    11:00-12:00: Hessel Posthuma (Amsterdam)
    Integrable hierarchies and Frobenius manifolds

    15:00-16:00: Julie Bergner (UC Riverside)
    Generalized classifying space constructions

    16:30-17:30: Christian Blohmann (Regensburg/Bonn)
    Homotopy equivalence of correspondences and anafunctors of higher groupoids

    Abstracts can be found on the website

    December 10th, 2010 - GQT colloquium
    Frederic Bourgeois (Bruxelles): Holomorphic curves in contact geometry
    Holomorphic curves were introduced in symplectic geometry by Gromov. These rapidly proved to be extremely valuable tools to study symplectic rigidity and to construct symplectic invariants. The goal of this talk is to explain how these techniques can also be applied to contact geometry, with a focus on contact homology, a holomorphic curves invariant for contact structures. This will be illustrated with several examples and some selected results.

    Walter van Suijlekom (Nijmegen): Gauge theories and noncommutative manifolds
    In this talk, we will discuss some aspects of the intrinsic gauge theoretical nature of noncommutative manifolds. Following Connes, we descibe a noncommutative (Riemannian, spin) manifold by its fundamental class in K-homology. Among other functional analytical data, such a K-cycle consists of a (noncommutative) C*-algebra. As a consequence of noncommutativity, there might exist non-trivial inner automorphisms; these will be referred to as gauge transformations. The key example that motivates this terminology from physics is when one replaces the algebra of functions on a manifold by matrix-valued functions. The resulting Morita equivalence describes ordinary Yang-Mills theory as formulated in terms of connections on principal bundles. As another class of examples, we will discuss deformations of a manifold along a torus action, first introduced by Rieffel. The noncommutative algebra turns out to contain a commutative subalgebra, corresponding to functions that are constant along the orbits of the torus (and hence remain undeformed). We will present a novel interpretation of the noncommutative K-cycle as describing a gauge theory on the (commutative) orbit space. The gauge theory naturally involves connections on Hilbert bundles on this background manifold. If time permits, we formulate a decomposition in Kasparov's KK-theory that captures this and the above example.

    Ilia Itenberg (Strasbourg): Tropical geometry and enumeration of real rational curves
    The purpose of the talk is to make an introduction to tropical geometry with an emphasis on applications of tropical geometry in complex and real algebraic geometries. Tropical geometry has deep relations with many branches of mathematics. In good cases, a tropical variety is approximated by a one-dimensional family of complex varieties. This gives rise to important links between the complex algebraic world and the tropical one. One of the links is given by Mikhalkin's correspondence theorem. This theorem, together with Welschinger's discovery of a real analog of genus zero Gromov-Witten invariants, produces new results on enumeration of real rational curves. We will also discuss tropical homology groups which carry an important information about a degenerating one-dimensional family of complex varieties.


    10:50-11:15 Coffee and tea (outside LIN 6)
    11:15-12:15 Talk of F. Bourgeois (LIN 6)
    12:15-13:45 Lunch break
    13:45-14:45 Talk of W. van Suijlekom (LIN 3)
    14:45-15:00 Messages from the GQT board, awarding of the GQT master thesis prize, discussion of GQT programme MasterMath
    15:00-15:20 Coffee and tea
    15:20-16:20 Talk of I. Itenberg (LIN 3)
    16:30-??:?? Borrel (Huygensbuilding)

    All talks will take place in the Linnaeus building (Heyendalseweg 137), but in different rooms for morning and afternoon sessions.

    October 8th, 2010 - GQT colloquium
    The colloquium will take place at Science Park 904, 1098 XH Amsterdam, room A1.04. The speakers are Tilman Bauer (VU Amsterdam), Viatcheslav Kharlamov (IRMA, Strasbourg), and Robert Penner (Aarhus Univ. and Caltech).

    10:30 - 11:00: Coffee and tea.
    11:00 - 12:00: Talk of Robert Penner.
    12:00 - 14:00: Lunch.
    14:00 - 15:00: Talk of Viatcheslav Kharlamov.
    15:00 - 15:30: Coffee and tea.
    15:30 - 16:30: Talk of Tilman Bauer.
    16:30 - ??:??: Reception

    Directions: room A1.04, Science Park 904.

    Titles and abstracts of the talks.

    Tilman Bauer: Unstable operations in Morava K-theory.
    The Morava K-theories are a familiy of homology theories which are singled out among other homology theories by the fact that they behave analogously to the prime fields $\mathbb{F}_p$ among all abelian groups. I will show how these can be used effectively to compute the homotopy groups of a space (or, more precisely, of a localization of a space) using an Adams-type spectral sequence.

    Viatcheslav Kharlamov: First steps in enumeration of real rational curves on surfaces. Welschinger invariants, their definitions and properties.
    Welschinger invariants is a real analogue of genus zero Gromov-Witten invariants. Their general theory is still under construction but they gave already a number of non-trivial applications, especially in real enumerative geometry where they remain the main source of lower bounds on the number of real solutions (one may mention as one of the first applications of the Welschinger invariants a proof of the existence of real solutions in the problem of interpolating real points by real rational plane curves of given degree). In this talk, based on joint works with I. Itenberg and E. Shustin, I will remind how Welschinger invariants look like in the case of surfaces, point certain modifications, and then concentrate on some basic properties (like positivity, monotonicity and asymptotic growth) obtained in the case of Del Pezzo surfaces (with $K2\ge 3$ for the moment) by means of real analogues of Caporaso-Harris type recursive formulas.

    Robert Penner: Protein and RNA Moduli Spaces.
    Several joint projects with J. E. Andersen and others have applied techniques and results from moduli spaces to various problems in proteomics and genomics. Protein has its characteristic geometric structure, which is naturally modeled using spaces of SO(3) graph connections, leading to a nice notion of protein moduli space. In genomics, the geometry is less well understood, in part because of the dearth of data, but the combinatorics nevertheless remains useful: Earlier joint work with M. S. Waterman had analyzed moduli spaces of all possible unknotted RNA secondary structures using planar fatgraphs, and current joint work with JEA, MSW, and C. M. Reidys goes beyond this towards solving the problem of enumerating all possible knotted RNA secondary structures of a specified topology with its concomitant applications to the RNA folding problem.

    October 5th, 2010 - symposium on quantum probability and quantum information
    Place: Minnaertbuilding room 023, de Uithof, Utrecht

    11:00-12:00: Hans Maassen
    Introduction to quantum probability and quantum information

    (lunch break)

    13:00-14:00: Nilanjana Datta
    Relative entropies and entanglement monotones

    14:15-15:15: Mark Fannes
    Entropic bounds for correlated states

    (tea break)

    15:45-16:45: Madalin Guta
    Fisher information and asymptotic normality for quantum Markov chains


    If you want to attend, please send an e-mail to: J.W.vandeLeur"AT"uu.nl

    October 4th, 2010 - Promotie Bas Janssens
    Titel Proefschrift: Transformation & Uncertainty (Some Thoughts on Quantum Probability Theory, Quantum Statistics, and Natural Bundles)

    Academiegebouw Utrecht, Domplein 29, Utrecht
    Aanvang 14.30 uur

    September 10th, 2010 - Workshop Quantum Topology
    September 10-11, 2010

    June 28th, 2010 - GQT conference: 28/6 - 2/7, 2010. Registration open.
    Conference at the occasion of the fourth year of existence of the GQT cluster.

  • Monday 28/6 - Thursday 1/7: Nijmegen
  • Friday 2/7: awardance of Compositio Prize, Amsterdam (UvA)
  • More details: see conference website

    June 10th, 2010 - P. Aluffi (FSU): 10-15 June: Three lectures on characteristic classes and Feynman integrals
    P. Aluffi (FSU) will give a "masterclass in the masterclass": 8-17 June: Characteristic classes and Feynman integrals, Time/Location: 15-17 on Thu 10/6 in Minnaertgebouw 202, Mon 14/6, Tue 15/6 in WIS611

    June 9th, 2010 - M. Marcolli (Caltech), 8-17 June: lectures "How noncommutative geometry looks at arithmetic"
    M. Marcolli (Caltech) will give a "masterclass in the masterclass" at Utrecht, 8-17 June: How noncommutative geometry looks at arithmetic Time: 11-13 on Wed 9/6, Thu 10/6, Mon 14/6, Tue 15/6 and Wed 16/6; Location: WIS611, Everybody welcome! Priority to MRI-masterclass students

    June 9th, 2010 - G. Felder lectures on 9/6, 22/6, 24/6.

    Giovanni Felder from ETH in Zurich will be the guest of the Mathematics Department of the Radboud University Nijmegen from June 8 until July 3 of this year, as visiting GQT-professor.

    He will give a general colloquium lecture on

  • Wednesday June 9, 11-12 in lecture room HG00.062:
    Gaudin models, the symmetric group and stable rational curves.
  • This lecture is intended for a general mathematical audience.

    There will be two days of lectures the week before the GQT-conference. On both of these days we intend to have dinner in town with the speakers and the audience of the lectures. If you are interested, please join us.

    Tuesday June 22 in HG00.062 of the Huygens Building:
  • Jochen Heinloth (11:15-12:15 & 13:45-14:30):
    An example of the geometric Langlands correspondence with wild ramification.
  • Giovanni Felder (14:45-15:45 & 16-17) Quantum Calogero-Moser systems on elliptic curves I.
  • Thursday June 24 in HG00.071 of the Huygens Building:
  • Jasper Stokman (11:15-12:15 & 13:45-14:30):
    Cherednik algebras, KZ equations and Bispectrality.
  • Giovanni Felder (14:45-15:45 & 16-17):
    Quantum Calogero-Moser systems on elliptic curves II.

  • June 4th, 2010 - GQT colloquium Utrecht
    Place: Minnaert building room 208, Utrecht

    10:50-11:15 Coffee and tea
    11:15-12:15 Talk of Yan Soibelman
    12:15-14:00 Lunch break
    14:00-15:00 Talk of Gert Heckman
    15:00-15:25 Coffee and tea
    15:25-15:30 Message from the board of GQT
    15:30-16:30 Talk of Alexei Davydov
    16:45-??:?? Drinks in Library Math building


    Yan Soibelman: Motivic Donaldson-Thomas invariants and cluster transformations.

    In a joint work with Maxim Kontsevich we introduced motivic Donaldson-Thomas invariants of 3-dimensional Calabi-Yau categories. Such a category can be associated e.g. with a quiver with potential. Mutation of the quiver with potential corresponds to a change of t-structure of the Calabi-Yau category. Comparing motivic DT-invariants calculated in those two t-structures we arrive to the quantum cluster transformation of the quantum torus naturally associated with the Grothendieck group of the category. I am going to explain this result with the necessary preliminaries.

    Gert Heckman: Hyperbolic Structures and Root Systems

    We discuss the construction of a one parameter family of complex hyperbolic structures on the complement of a toric mirror arrangement associated with a simply laced root system. Subsequently we find conditions for which parameter values this leads to ball quotients.

    Alexei Davydov: Witt group of modular categories" (joint with A. Kitaev, M. Mueger, D. Nikshych, V. Ostrik)

    We describe an abelian group structure on the set of classes of modular categories modulo some equivalence relation. The resulting Witt group of modular categories resembles (and contains) the Witt group of finite abelian groups with quadratic forms. The conjecture of Moore and Seiberg, that all RCFTs come from reductive groups via WZW, coset and orbifold constructions, can be interpreted as a statement about generators of this Witt group.

    May 31st, 2010 - Master Class "Geometry of Gauge Theories and Geometric Quantization"
    This master class will be held at the University of Amsterdam (at the science park) from May 31 -- June 11, 2010 and is also suitable for master students (4 credit points).
    Lectures by N. Reshetikin and J.E. Andersen.
    Further information may be obtained from the website, where one can register for the master class (registration deadline is March 29th).
    Information may also be requested at masterclassmph@gmail.com

    May 4th, 2010 - Talk by Pablo Roman (KU Leuven) in Mathematical Physics Seminar.
    Title: Matrix valued orthogonal polynomials, spherical functions and the hypergeometric operator. Time and place: Tuesday May 4, 2010 (9:30-10:30) in room HG03.084

    April 27th, 2010 - Lecture O. Garcia-Prada
    O. Garcia-Prada (CSIC Madrid/MPI Bonn) will give a talk at the UvA:
    Title: Involutions of the moduli space of Higgs bundles and real forms
    Abstract. We consider involutions of the moduli space of G-Higgs bundles over a compact Riemann surface, where $G$ is a complex reductive Lie group, and study the relation of the fixed points subvarieties with representations of the fundamental group of the surface into real forms of G.
    Room: A1.04, Science Park Amsterdam
    Time: 16:00-17:00

    April 26th, 2010 - Masterclass W. van Suijlekom (RU Nijmegen): 26-29 april: Noncommutative geometry and physics
    W. van Suijlekom (RU Nijmegen) will give a "masterclass in the masterclass" at Utrecht, 26-29 april: Noncommutative geometry and physics Time: 9-11 on Mon 26/4, Wed 28/4 and Thu 29/4; Location: WIS611, Everybody welcome! Priority to MRI-masterclass students

    April 16th, 2010 - GQT colloquium Leiden
    The GQT colloquium will be the last day of the MRI/GQT conference The Interface of Integrability and Quantization which will be held at the Lorentz Center from 12 Apr 2010 through 16 Apr 2010.

    March 15th, 2010 - Masterclass C. Consani (JHU): 15-17 March: Around the field with one element
    C. Consani (Johns Hopkins) will give a "masterclass in the masterclass" lecture 15-17 March: Around the field with one element, Time: Mon 15/3, 9-12 and Wed 17/3, 9-11; Location: BBL005, Everybody welcome! Priority to MRI-masterclass students

    March 1st, 2010 - Masterclass G. Robertson (Newcastle): 1-5 March: Noncommutative geometry of euclidean buildings and their boundaries
    Guyan Robertson (Newcastle) will give a "masterclass in the masterclass" lecture at Utrecht ,1-5 March: Noncommutative geometry of euclidean buildings and their boundaries, Time: 9-11, Locations: Mon 1/3 in BBL005, Wed 3/3, Thu 4/3, Fri 5/3: WIS611 Everybody welcome! Priority to MRI-masterclass students

    February 12th, 2010 - GQT colloquium Amsterdam


    The colloquium will take place at the new building of the FNWI at Science Park 904, 1098XH Amsterdam, Room A1.10.


    10:50-11:15 Coffee and tea
    11:15-12:15 Talk of S. Bloch
    12:15-14:00 Lunch break
    14:00-15:00 Talk of M.-T. Benameur
    15:00-15:25 Coffee and tea
    15:25-15:30 Message from the board of GQT
    15:30-16:30 Talk of M. Crainic
    16:30-??:?? Borrel

    The list of talks:

    Spencer Bloch, Chicago
    Title: Introduction to iterated integrals and multiple zeta-numbers.
    Abstract: (Relativistic) Quantum Field Theory is a rich source of fascinating problems in algebraic geometry. In this lecture I will outline some general questions involving physics and algebraic geometry (motives).
      I. Iterated integrals; multiple zeta-numbers.
      II. Graphs; Feynman rules; Feynman amplitudes; Feynman parameters.
      III. External momenta and masses.
      IV. Renormalization; limiting mixed Hodge structures.
      V. Monodromy; Cutkowsky Rules.

    Moulay-Tahar Benameur, Metz
    Title: The foliated Cheeger-Gromov invariant.
    Abstract: We shall review the classical rho invariant and introduce the foliated rho invariant associated with a holonomy invariant measure on a smooth closed odd foliation. Then we shall explain a foliated homotopy invariance theorem for the signature operator.

    Marius Crainic, Utrecht
    Title: Local forms in Poisson geometry.
    Abstract: I will report on recent joint work with Ionut Marcut (PhD student, UU) on a Poisson geometric version of the slice theorem (in equivariant geometry) and of the local Reeb stability (in foliation theory). This theorem is a generalization of Conn's linearization theorem- a generalization which is possible due to recent geometric proof (joint with R.L. Fernandes) of Conn's theorem. I will spend most on the time on recalling the classical results, explaining the result and looking at examples. If time allows, some ideas of the proof will be given.

    January 25th, 2010 - Stieltjes Onderwijsweek 2010
    From 25 till 28 January 2010 a "Stieltjesonderwijsweek" will take place at the VU, mainly aimed at PhD students and postdocs. It will provide a good background for the talks of Spencer Bloch as Stieltjes professor during February and March 2010, but the chosen subjects are of independent interest in algebraic geometry and related fields. It gives an introduction to the following topics * Cohomology theories * Mixed Hodge structures and their variations. * Local systems and monodromy.

    Organizers: Bas Edixhoven, Rob de Jeu, Ben Moonen, Tejaswi Navilarekallu, Jan Stienstra, Lenny Taelman.

    For more details see:

    December 22nd, 2009 - Special day on Lie groups
    At the occasion of the thesis defense of Vincent van der Noort

  • 10:15 - 11:05: Bernhard Kroetz (Hannover): Analytic factorization of Lie group representations
  • 11:15 - 12:05: Eric Opdam (Amsterdam, UvA): Hecke algebras and the tempered L-function conjecture
  • 13:30 - 14:20: Henrik Schlichtkrull (Copenhagen): Analytic representations of Lie groups
  • Abstracts: available on website.
    Location: Buys Ballot Laboratory, 426
    Organizer: Erik van den Ban

    December 21st, 2009 - Thesis defense Vincent van der Noort

    Title: `Analytic parameter dependence of Harish-Chandra modules for real reductive Lie groups -- A family affair'
    Promotor: E.P. van den Ban
    Date, time: Monday, December 21, 14:30
    Location: Academiegebouw, Domplein 29

    December 11th, 2009 - GQT colloquium Utrecht
    The first lecture of the colloquium will take place in Minnnaertbuilding room 208; lecture 2 and 3 in Minnnaertbuilding room 202.


    10:50-11:15 Coffee and tea
    11:15-12:15 Talk of Alexander Polishchuk
    12:15-14:00 Lunch break
    14:00-14:05 Student prize Ceremony: Best GQT 2008-2009 M.Sc.-thesis
    14:05-15:05 Talk of Ben Moonen
    15:05-15:30 Coffee and tea
    15:30-15:35 Message from the board of GQT
    15:35-16:35 Talk of Boris Dubrovin
    16:35-??:?? Drinks

    The list of talks:

    Alexander Polishchuk
    Title: A-infinity structures on elliptic curves.

    Abstract: I will show how calculating A-infinity structures on the derived category of coherent sheaves of an elliptic curve leads to new expressions for some classical functions, such as Eisenstein series and Hecke's indefinite theta series.

    Ben Moonen
    Title: Chern classes of automorphic bundles

    Abstract:In my talk I shall discuss tautological classes on compactified Shimura varieties. By definition, the algebra of such classes is generated by the Chern classes of certain natural vector bundles. The picture we have is that for the Shimura variety associated to a pair (G,X) the tautological ring should be isomorphic to the cohomology ring of the compact dual of X, which is a completely explicit ring. We give a simple geometric explanation for this. In cohomology this works. However, on more refined levels (Deligne cohomology, Chow rings) we know this only in special cases and there is a fundamental obstacle that remains. I shall describe where the difficulty lies and will discuss what is known about it. If time permits I will explain how in characteristic p these difficulties can be overcome.

    No prior knowledge of the formalism of Shimura varieties is assumed!

    Boris Dubrovin
    Title: Hamiltonian PDEs and their deformations

    Abstract: We will explain basic ideas of the deformation theory of Hamiltonian partial differential equations (PDEs), including an introduction to integrable PDEs. In the second part of the talk some properties of solutions to these PDEs will be discussed.

    December 1st, 2009 - Talk by Simon Brain (SISSA, Trieste) in Seminar on Quantization, noncommutative geometry and symmetry
    Simon Brain will speak on "The Noncommutative Geometry of Instantons on S4&theta". Time: 15:45 Location: HG03.084

    October 29th, 2009 - 2-day workshop "Geometric Aspects of Quantum Theory and Integrable Systems"

    The workshop will take place at the University of Amsterdam, Roeterseiland.

    Thursday; October 29
    All lectures will be held in room 3.85 of building J/K at the Valckenierstraat

    10:15-11:15 N. Reshitikhin, On the large volume limit of random skew plane partitions
    11:15-11:30 Break
    11:30-12:30 A. Zabrodin, Logarithmic gases and Laplacian growth
    12:30-14:00 Lunch break
    14:00-15:00 M. Mazocco, Isomonodromic deformations arising in Teichmuller theory
    15:00-15:15 Break
    15:15-16:15 L. Chekhov, From Teichmuller spaces to Yangian algebras: quantization and reductions
    16:15-16:30 Break
    16:30-17:30 G. Carlet, The in nite dimensional Frobenius manifold associated to 2D Toda hierarchy

    Friday; October 30
    All lectures will be held in room 3.06 of building A at the Roeterstraat

    10:15-11:15 I. Krasil'shchik, Poisson structures in the geometry of PDEs
    11:15-11:30 Break
    11:30-12:30 S. Loktev, Topological Field Theories for non-orientable Surfaces
    12:30-14:00 Lunch break
    14:00-15:00 J. S. Caux, Correlations and quenches in integrable systems
    15:00-15:15 Break
    15:15-16:15 S. Shadrin, A cohomological fi eld theory associated to a TCFT
    16:15-??:?? Drinks

    Abstracts of the talks are available at the web-page of the workshop at KdVI.

    The workshop is organised by Gerard Helminck in in collaboration with the Institute for Theoretical Physics.

    October 9th, 2009 - GQT colloquium Amsterdam
    The colloquium will take place at the old building of the Korteweg-de Vries Institute (Euclides) at Plantage Muidergracht 24, 1018TV Amsterdam, Room P.018.


    10:50-11:15 Coffee and tea
    11:15-12:15 Talk of V. Fock
    12:15-14:00 Lunch break
    14:00-15:00 Talk of A. Alekseev
    15:00-15:25 Coffee and tea
    15:25-15:30 Message from the board of GQT
    15:30-16:30 Talk of J. van de Leur
    16:30-??:?? Borrel

    The list of talks:

    Anton Alekseev, Geneva
    Title: Associators and their applications
    Abstract: Drinfeld associators were originally introduced as a tool in the theory of quantum groups. It was later discovered that they play an important role in many fields of mathematics, such as Lie theory, low-dimensional topology, deformation quantization and number theory.
    In the talk, we'll introduce the Drinfeld's pentagon equation and explain its links to the Kashiwara-Vergne problem in Lie theory and to multiple zeta values in number theory.

    Vladimir Fock, Strasbourg
    Title: Cluster geometry and quantum theory of higher Teichmueller spaces.
    Abstract: Ordinary Teichmueller space of complex structures on Riemann surfaces can be viewed as a connected component in the space of homomorphisms of the fundamental group of the surface to the group $SL(2,R)$. Higher Teichmueller space, defined by Hitchin, is a generalisation of this notion in where the group $SL(2,R)$ is replaced by a simple group of higher rank. We shall give an explicit description of this space and discuss its structures: mapping class group action, Poisson structure and quantization.

    Johan van de Leur, Utrecht
    Title: Givental symmetries of Frobenius manifolds and multi-component KP tau-functions
    Abstract: We establish a link between two different constructions of the action of the twisted loop group on the space of Frobenius structures. The first construction (due to Givental) describes the action of the twisted loop group on the partition functions of formal Gromov-Witten theories. The explicit formulas for the corresponding tangent action were computed by Y.-P. Lee. The second construction describes the action of the same group on the space of Frobenius structures via the multi-component KP hierarchies. Our main theorem states that the genus zero restriction of the Y.-P. Lee formulas coincides with the tangent KP action. This talk is based on arXiv:0905.0795 wich is a joint publication with Evgeny Feigin and Sergey Shadrin.

    July 17th, 2009 - Day on Special Functions
    Speakers: Wolter Groenevelt (TUD), Raimundas Vidunas (Kobe University, Japan), Mizan Rahman (Carleton University, Canada), Tom Koornwinder (UvA)

    June 15th, 2009 - The analytic theory of automorphic forms

    A conference at the 65th birthday of Roelof Bruggeman
    15-19 June 2009
    Speakers include: Eiichi Bannai (Kyushu), Ehud Moshe Baruch (Technion), Kathrin Bringmann (Koln), Roelof Bruggeman (Utrecht), Gautam Chinta (CUNY), Nikolaos Diamantis (Nottingham), Masanobu Kaneko (Kyushu), Emmanuel Kowalski (ETHZ), Winnie Li (Penn State), Anton Mellit (MPIM), Roberto Miatello (Cordoba), Andre Reznikov (Bar Ilan), Morten Risager (Kopenhagen), Akshay Venkatesh (Stanford), Nolan Wallach (UCSD), Don Zagier (College de France/MPIM), Sander Zwegers (UC Dublin).
    For more information and registration, go to the webpage. To secure a place at the conference, register before mid March.

    June 9th, 2009 - Talk by Xiang Tang in Utrecht in the Geometry and Topology seminar

    14.00, room tba

    Title: Relative index of CR structures

    Abstract: We discuss a new proof of the Atiyah-Weinstein conjecture on the index of Fourier integral operators and the relative index of CR structures. This talk is based on a recent joint work with Boutet de Monvel, Leichtnam, and Weinstein.

    June 5th, 2009 - GQT colloquium Nijmegen
    Locatie: Linnaeusgebouw, zaal LIN 3

    10:45 - 11:00: Koffie/thee
    11:00 - 12:00: Giovanni Felder (Zürich): Holomorphic differential operators and Riemann-Roch formulae.
    12:00 - 13:30: lunch pauze
    13:30 - 13:45: mededelingen van het GQT bestuur
    13:45 - 14:45: Tillman Wurzbacher (Metz): On the (hypothetical) Dirac operator on loop space: Topological, geometrical and analytical aspects
    15:00 - 16:00: Victor Kac (MIT): Poisson vertex algebras in the theory of infinite-dimensional Hamiltonian equations.
    16:00 - : Receptie (Huygensgebouw, bij de wiskunde afdeling).

    Abstract Felder's talk: The Riemann-Roch formula extends to a local integral formula for the alternating sum of traces of the action a holomorphic differential operator on sheaf cohomology. In the presence of a compact group action, localization formulae at fixed points are available. The construction is based on ideas of deformation quantization. This is joint work with Markus Engeli and with Xiang Tang based on earlier work with Boris Feigin and Boris Shoikhet.

    June 4th, 2009 - Talk by Xiang Tang at the KdV-institute (UvA)

    11.00, Room A1.06, Sciencepark 904 (the new location of the KdV institute!)

    Title: Hochschild cohomology of orbifolds and Dunkl operators

    Abstract: We will explain how Dunkl operators show up in the study of Hochschild cohomology of orbifolds. After that, we plan to discuss an approach to use Dunkl operators to construct some "new" deformation quantizations of orbifolds.

    April 29th, 2009 - Lecture by M. Lehn
    Title: Holomorphic symplectic varieties
    Location: KdV Institute, UvA, room P.014 Time: 11:15 - 12:00.

    April 17th, 2009 - Seminar on Modular Forms
        14:00-14:50 Matthias Schuett (University of Copenhagen)
        K3 surfaces and modular forms
        15:00-15:50 Gerard van der Geer (University of Amsterdam)
        Siegel modular forms of low genera
        16:00 Coffee/Tea
        16:30-17:20 Don Zagier (MPIM Bonn/ CdF Paris)
        On a U(3,1)-automorphic form of Ferapontov-Odesskii
        18:00 Dinner

    April 3rd, 2009 - G. Laumon: The weighted fundamental lemma

    Two lectures (joint work with P.-H. Chaudouard)

    15:00 - 16:00
    16:30 - 17:30 KdV Institute, UvA, room P 0.14

    March 20th, 2009 - DIAMANT-GQT colloquium
    10.45.00-17.00 h. in Minnaertgebouw 208, Universiteit Utrecht:

    10.45-11.00 coffee and tea

    11.00-12.00: Spencer Bloch, Algebraic geometry associated to graphs

    12.00-13.15: Lunch

    13.15-14.15: Alex Quintero Velez, McKay correspondence for Landau-Ginzburg models

    14.30-15.30: Rob de Jeu, K4 of curves over number fields

    15.30-16.00: Tea and coffee

    16.00-17.00: Dmitri Orlov, Triangulated categories of singularities, D-branes in LG-models and mirror symmetry

    17.05- : Drinks in the library of the Mathematical Institute


    Spencer Bloch, Algebraic geometry associated to graphs
    The Feynman amplitude associated to a graph in physics is a period of the hypersurface defined by the Kirchoff polynomial, a classical invariant of the graph. I will explain work on the "motive" of the graph.

    Alex Quintero Velez, McKay correspondence for Landau-Ginzburg models
    Abstract: The McKay correspondence is a principle that relates the geometry of a resolution of singularities of a quotient variety M/G and the equivariant geometry of the group action. The classic case is McKay's identification of the cohomology of the resolution of a Kleinian singularity CC2/G with the representation theory of G. In this talk, we discuss an analogue of the McKay correspondence for Landau-Ginzburg models. This leads naturally to a generalized notion of the McKay correspondence as an isomorphism of "noncommutative spaces" (in Kontsevich's sense).

    Rob de Jeu, K4 of curves over number fields
    We give a conjectural description (due to Goncharov) of K4 modulo torsion of a curve over a number field, using certain complexes based on the function field of the curve. We also discuss to which extent this has been proved. Furthermore, we illustrate a method of finding non-zero examples for elliptic curves E defined over Q, and numerically verify the relation between their regulators and L(E,3) predicted by the Beilinson conjectures. The latter is joint work in progress with Sander Meinema.

    Dmitri Orlov, Triangulated categories of singularities, D-branes in LG-models and mirror symmetry
    I am going to talk about triangulated categories of singularities and categories of D-branes of type B in Landau-Ginzburg models and sigma-models. Different properties of these categories will be described. At the end of my talk I am also going to discuss mirror symmetry and a generalized strange Arnold duality.

    March 2nd, 2009 - Thesis defense Alex Quintero
    Thesis: Equivalence of D-Brane Categories
    Author: Alexander Quintero Velez
    Promotor: Hans Duistermaat, copromotor: Jan Stienstra
    Date/Time: Monday 2/3-2009, 12:45

    February 27th, 2009 - Math-Physics seminar
    Lectures from 14:00 - 16:30, Buys Ballot 276, followed by drinks


    Andrew Dancer (Oxford, U.K.): "Ricci solitons with large symmetry group"
    Maxim Zabzine (Uppsala, Sweden): "Generalized geometry and chiral de Rham complex"
    Dancer: We use dynamical systems methods to produce new examples of Ricci solitons, including some not of Kahler type.
    Zabzine: Chiral de Rham complex is the way to associate the conformal field theory to a curved target space. I will briefly review the ideas behind the chiral de Rham complex. I will discuss the relation between chiral de Rham complex and the generalized geometry. I will conclude with the brief comments on the applications

    (organizers: Bernard de Wit, Eduard Looijenga, Jan Stienstra, Stefan Vandoren)

    February 6th, 2009 - GQT colloquium at Amsterdam
    The speakers are Arthur Bartels (Univ. of Muenster), Ezra Getzler (Northwestern Univ.), and Jasper Stokman (Univ. of Amsterdam).

    10:45 - 11:00: Coffee and tea
    11:00 - 12:00, Room P 0.14: Ezra Getzler.
    12:00 - 13:30: Lunch
    13:30 - 14:30, Room G.S.04: Arthur Bartels.
    14:30 - 14:45: Coffee and tea
    14:45 - 15:45, Room G.S.04: Jasper Stokman.
    16:00 - ??:??, Euclides canteen: Reception

    Building P (1st lecture and reception): Plantage Muidergracht 22-24, 1018 TV Amsterdam
    Building G (2nd and 3rd lectures): Nieuwe Prinsengracht 130, 1018 VZ Amsterdam
    Transport schedule can be obtained from 9292ov.nl

    Titles and abstracts of the talks.

    Ezra Getzler: Gerbes and supergravity.

    Four-dimensional supergravity is a classical field theory involving the addition of a matter field, called the Rarita-Schwinger field, to Einstein's theory of gravitation. The local covariance exhibited by Einstein's theory (in contemporary language, equivariance under the action of the Lie algebra of vector fields) is generalized in supergravity to the action of a Lie superalgebra; this symmetry is called local supersymmetry.

    By contrast with the situation in the theory of gravity, the supersymmetry of supergravity is not exhibited at the level of the field equations, but only on the space of solutions of these equations; physicists say that supersymmetry only holds "on-shell". There is an equivalent formulation of supergravity, involving the addition of a pair of new fields, a Hermitian connection A on a complex line bundle and a two-form B, such that the resulting theory exhibits supersymmetry "off-shell", even before imposing the equations of motion; this theory, introduced by Sohnius and West, is called "new minimal supergravity".

    In this talk, we interpret the two-form as the curving of a gerbe, and the coupling between the fields A and B in terms of Beilinson's product on Deligne cohomology. This permits the definition of new minimal supergravity not just on domains of Minkowski space, but on manifolds.

    Applying this formalism to the double of a manifold with boundary, we explain how to formulate new minimal supergravity in the presence of a boundary. (Here, we are expanding on a discussion by Lambert and Moore.) Here, Z/2-equivariant gerbes make their appearance.

    One of the goals of this talk is to offer an introduction to gerbes and their geometry - little background beyond familiarity with differential forms and connections on line bundles will be assumed.

    Arthur Bartels: Hyperbolic groups and aspherical manifolds.

    An aspherical manifold is a closed manifold whose universal cover is contractible. Up to homotopy such a manifold is determined by its fundamental group. Borel conjectured that such a manifold is in fact determined up to homeomorphism by its fundamental group. It is also of interest to determine which groups arise as fundamental groups of aspherical manifolds. I will discuss these questions for word-hyperbolic groups in the sense of Gromov.

    Jasper Stokman: Affine Hecke algebras and bispectral quantum KZ equations.

    I first review the role of the affine Hecke algebra H in the construction of quantum invariants of braids and ribbon tangles in a thickened cylinder, as well as its application in integrable models of statistical mechanics. Much of the relevant information is stored in an explicit H-valued cocycle of the associated Weyl group, which depends on a set of spectral parameters as well as on a set of twisting parameters. The twisting parameters encode the choice of boundary conditions for the associated integrable models.

    In the second part of the talk we come to the central object of the talk: the quantum KZ equations. They form a holonomic system of difference equations acting on spectral parameters. They are solved by correlation functions of the above mentioned integrable models. I establish a holonomic extension of the quantum KZ equations by exhibiting an explicit compatible system of difference equations acting on twisting parameters. I discuss its application in creating symmetric Laurent polynomial solutions of quantum KZ equations. This class of solutions is of particular interest due to its connection with Macdonald polynomials, and its application to the Razumov-Stroganov conjecture. This is joint work with Michel van Meer.

    January 16th, 2009 - Oratie Gunther Cornelissen

    Tijdstip: 16.15; locatie: Academiegebouw, Domplein, Utrecht

    November 14th, 2008 - GQT colloquium
    The program will be posted as soon as possible

    October 27th, 2008 - DIAMANT meets GQT

    From 27-31 October the workshop "DIAMANT meets GQT" takes place at the Lorentz Center, Leiden. The first three days are reserved for the "Studygroup DIAMANT with GQT", and focus on attacking selected open mathematical problems. In the last two days the "DIAMANT/GQT-symposium" takes place, where also results on the problems are presented.
    The format of the first three days is inspired by that of the yearly "Studygroup Mathematics with Industry". Monday morning a small number of problems are presented. Then the participants are partitioned into groups and work on the the problems until Wednesday afternoon.

    September 26th, 2008 - GQT colloquium Utrecht
    On September 26 (2008), from 11.00-17.00 there will be the first GQT-colloquium of the academic year 2008/2009. It will be held in Utrecht, room 503 of the Buys Ballot Laboratorium, Princetonplein 5 (directions, see http://www.cs.uu.nl/docs/reach/bbl.php ). Speakers are Bernardo Uribe (Universidad de Los Andes, Colombia, temporarily MPI, Bonn), Michael Polyak (Technion, Israel, temporarily MPI, Bonn) and Gil Cavalcanti (Mathematisch Instituut, Utrecht).

    September 18th, 2008 - Utrecht General Colloquium Talk by Sergey Shadrin (UvA)
    Title: Cohomological Field Theory. Location and time: Utrecht University, Mathematics Building, room 611; 15:30 - 16:30.

    September 10th, 2008 - Afscheidsvoordracht Dirk Siersma
    Op 10 september a.s. houdt Dirk Siersma zijn afscheidsrede "Leven met Wiskunde" in de Aula van het Academiegebouw van de Universiteit Utrecht. Aanvang 16.15 uur.
    Na afloop receptie in de Senaatszaal.
    Voorafgaand aan het afscheidscollege vindt vanaf 10.30 uur een wetenschappelijk meetkundesymposium plaats in de aangrenzende Faculty Club Helios, Achter de Dom 7A Utrecht.

    September 10th, 2008 - Symposium Meetkunde
    Ter gelegenheid van het emeritaat van Prof.dr. Dirk Siersma.
    Lokatie: Faculty Club Helios, Achter de Dom 7A Utrecht (achter het academiegebouw).
    10.30-11.30 Ontvangst met koffie en thee.
    11.00-12.00 Mihai Tibar (Lille): Walk in the forest of Milnor fibrations
    13.14-14.15 Aad Goddijn (Utrecht): "de hooge gekromde blauwe RUIMTE BEN IK" over de vierde dimensie bij Theo van Doesburg.
    14.30-15.30 Duco van Straten (Mainz): The algebra and topology of line singularities.
    Na afloop begint om 16.15 uur het afscheidscollege in de Aula van de Universiteit Utrecht, gevolgd door een receptie.

    September 3rd, 2008 - Workshop Sheaves in Geometry and Quantum Theory

    This is to announce a three-day workshop on the interplay between logic, topology/geometry and quantum theory Sheaves in Geometry and Quantum theory ; September 3-5, 2008 Radboud University Nijmegen, the Netherlands ; funded by the Fellowship of Geometry and Quantum Theory (GQT-cluster) and Stichting Compositio Mathematica. For more information click on the header above.

    Invited (confirmed) speakers are: Andreas Doering (Imperial College London), Anders Kock (Aarhus), Jaap van Oosten (Utrecht), Erik Palmgren (Uppsala), Pedro Resende (Lisbon), Isar Stubbe (Antwerp), and Steve Vickers (Birmingham)

    Registration is free, but for logistic reasons, please inform Chris Heunen (heunen@math.ru.nl) if you plan to attend.

    July 14th, 2008 - Minisymposium on "Applications of Noncommutative Geometry" at 5ecm

    Amsterdam, July 14th - 18th, 2008

    List of speakers:
    Caterina Consani (Johns Hopkins)
    Yuri Manin (MPIM/Northwestern)
    Pedro Resende (Lisboa)
    Walter van Suijlekom (Radboud Universiteit)
    see also the plenary talk of Matilde Marcolli (MPIM)

    organizers: Gunther Cornelissen (UU) and Klaas Landsman (RU)

    July 7th, 2008 - Satelite Conference at The Geometric Langlands Program (7-11 July 2008)

    Satelite Conference at The Geometric Langlands Program from 7 Jul 2008 through 11 Jul 2008.

    We intend to bring together leading mathematicians working on the Geometric Langlands Program. The GLP has deep connections with Number Theory, Algebraic Geometry and with subjects from mathematical physics such as Quantization and Conformal Field Theory. Internationally the subject has quickly become a major theme bridging between these fields. The proposed workshop brings together various research communities in pure mathematics and mathematical physics in the Netherlands and intends to promote the GLP as a unifying research theme.

    Scientific coordinators: E. Frenkel (University of California, Berkeley, USA), G. Heckman (Radboud University Nijmegen, Netherlands), E.J.N. Looijenga (Universiteit Utrecht, Netherlands), E.M. Opdam (UvA, Netherlands)<\p>

    June 30th, 2008 - Satelite Conference Algebraic Geometry (june 30 - july 4)

    Satelite Conference Algebraic Geometry from 30 Jun 2008 through 4 Jul 2008 at the Lorentz Center

    Scientific coordinators: E. Looijenga (Utrecht Univ., The Netherlands), B. Edixhoven (Leiden Univ., The Netherlands), G. van der Geer (Amsterdam Univ., The Netherlands)

    June 25th, 2008 - Talks Losev on 24 and 25 june

    Andrey Losev is visiting Amsterdam, and he is going to give two talks:

    Tuesday, June 24, 11:00-13:00, room P0.18, Topological quantum mechanics and higher structures in Morse theory

    Wednesday, June 25, 11:00-13:00, room P0.18, Berkovits superstring as a topological string (towards the third superstring revolution)

    Both seminars will take place at the KdVI, Plantage Muidergracht 24, 1018TV Amsterdam.

    Visit is supported by the NwoRussian cooperation on Geometry and Singularity Theory in Mathematical Physics.

    June 24th, 2008 - Talk Sedykh on real global singularity theory

    Tuesday, 14.00-15.00 in room 611 of the Mathematics Institute in Utrecht, there will be another session of the Geometry and Topology seminar.

    Speaker: V.Sedykh (Moscow)

    Title: On some problems of real global singularity theory

    Abstract: Let M and N be smooth closed manifolds of dimensions m and n, respectively, with n greater or equal to m. Consider stable smooth mappings from M to N having only singularities of corank 1. We find a complete system of universal linear relations between the Euler characteristics of the manifolds of multi-singularities of mappings under consideration. As an application, we obtain multidimensional generalizations of the Bose theorem on supporting circles of a plane curve.

    Visit is supported by the NwoRussian cooperation on Geometry and Singularity Theory in Mathematical Physics.

    June 23rd, 2008 - Talk Mueger : Modular Categories

    You are cordially invited to the Seminar Quantum Groups and Applications

    Time: June 23, 10:30-12:30

    Location: Room D.3.17 in the D building on Nieuwe Achtergracht 129.

    Title: Modular Categories

    Speaker: Michael Mueger

    Roland van der Veen

    June 9th, 2008 - Educational Week on Noncommutative Integration
    In this Educational Week some aspects of noncommutative integration theory associated with von Neumann algebras will be discussed, as well as some of its applications.

    June 5th, 2008 - Oratie Erik Koelink

    Locatie: Radboud Universiteit, Academiezaal Aula, Comeniuslaan 2
    Tijdstip: 15:45

    May 30th, 2008 - GQT-Colloquium
    For the program, see the colloquium website.

    May 28th, 2008 - Promotie Oliver Lorscheid
    Titel: "Toroidal automorphic forms for function fields"

    May 23rd, 2008 - MATH-PHYS SEMINAR DAY
    Friday May 23, Universiteit Utrecht, Minnaert buidling, MIN 401
    14:00 : Graeme Segal (Oxford U.) Noncommutative Geometry and Quantum Field Theory.
    15:00 : Coffee break
    15:30 : Christoph Schweigert (Hamburg U.) Bundle Gerbes and Surface Holonomy.
    16:30 : Drinks

    April 28th, 2008 - Promotie Rogier Swierstra
    Titel: "Moduli spaces of cubic hypersurfaces through a period map"

    March 28th, 2008 - GQT-Colloquium
    Gunther Cornelissen (U Utrecht): Riemann surfaces and spectral triples
    Abstract: I will show how to associate to a compact hyperbolic Riemann surface a finite-dimensional noncommutative Riemannian geometry (a.k.a. finitely summable spectral triple), such that the zeta functions on the noncommutative side capture the complex structure of the Riemann surface. The construction passes via Schottky uniformization and can be seen as a reformulation of an ergodic rigidity theorem a la Mostow in terms of spectral triples. (joint work with Matilde Marcolli, arxiv:0708.0500)

    Duco van Straten (U Mainz): Classical and Quantum integrability
    Abstract: In the talk I will discuss the following question: Given a classsical integrable system defined by n Poisson commuting polynomials, can one find commuting \hbar-differential operators whose symbols are the given polynomials?

    Markus Reineke (U Wuppertal): Poisson automorphisms and quiver moduli
    Abstract: We discuss a factorization problem for Poisson automorphisms of a formal plane, which turns out to involve invariants for moduli spaces of quiver representations. This factorization problem appears in recent work of Kontsevich and Soibelman on Donaldson-Thomas invariants of noncommutative Calabi-Yau manifolds. We sketch a proof involving quiver realizations of quantized Kac-Moody algebras.

    Location: Linnaeus building, zaal Lin4
    10:45: Coffee and Tea
    11:00: G. Cornelissen
    12:00: Uitreiking scriptieprijs door W.v.d. Kallen
    aansluitend: Jozef Steenbrink met medelingen namens de directeur
    14:00: D.v.Straten
    15:00: Coffee and tea
    15:15: M. Reineke
    16:15- : Reception in the Huygens building

    February 11th, 2008 - Polynomial Mappings: Algebra, Computation and Topology: Febuary 11 and 12, 2008

    Workshop Polynomial Mappings: Algebra, Computation and Topology

    Febuary 11 and 12, 2008 at the Huygens Building, Radboud University Nijmegen (The Netherlands)

    These 2 days meeting will concentrate on new methods of algorithmic methods in the geometry and topology of polynomial mappings, both local and global. Special attention will be given to topics as behaviour at infinity, the structure of the bifurcation diagram, monodromy around a given stratum, mixed Hodge structures of fibres, algebraic coumputation of topological invariants, Cohen Macaulay modules, Lie algebras of algebraic varietes and singularities, geometry of quadratic mappings and various versions of Keller Jacobian conjecture.

    Please register

    February 8th, 2008 - Oratie Erik van den Ban
    16.15 uur, Academiegebouw Universiteit Utrecht

    February 1st, 2008 - GQT-Colloquium, University of Utrecht, Minnaert building room 211
    11:15-12:15 Vladimir Kazakov, ENS, Paris VI:
    Integrable quantum (super)spin chains and discrete classical dynamics.
    12:15 - 13:30 Lunch
    13:30 - 14:30 Erik Koelink, RU, Nijmegen:
    Quantum groups and the quantum group analogue of SU(1,1).
    14:30 - 14:40 Dirk Siersma: News from the GQT board.
    14:40 - 15:00 Coffee & Tea.
    15:00 - 16:00 Nick Dorey, DAMTP, Cambridge:
    Integrability and the AdS/CFT correspondence.
    16:00 - ?? Drinks


    Vladimir Kazakov, ENS, Paris VI
    Title: Integrable quantum (super)spin chains and discrete classical dynamics.
    We review a discrete classical dynamics approach to the integrable quantum (super)spin chains. It takes a different venue from the well known algebraic Bethe ansatz but it also allows to go all the way from the definition of the R-matrix to the final system of nested Bethe equations. The intermediate steps include the derivation of the determinant Bazhanov-Reshetikhin formula and the associated integrable discrete bilinear Hirota equation describing the quantum fusion of representations, the solution of this equation by the Backlund transformation and the general formulas for transfer-matrices in terms of Baxters Q-functions. The method looks especially useful in the case of supergroups where the new bilinear relations among Q-functions are observed.

    Erik Koelink, RU, Nijmegen
    Title: Quantum groups and the quantum group analogue of SU(1,1).
    Quantum groups originated in the 1980ies from different perspectives. It took quite some time before a satisfactory general theory for non-compact quantum groups was established. A general theory on the level of operator algebras for quantum groups has been introduced in 2000 and 2003 by Kustermans and Vaes. We review their definition and main results, and we consider the example of the quantum group analague of the normalizer of SU(1,1) in SL(2,C).

    Nick Dorey, DAMTP, Cambridge
    Title: Integrability and the AdS/CFT correspondence.
    I will review recent progress towards a solution of N=4 SUSY Yang-Mills theory in the planar limit and related developments in the dual string theory on AdS_5 x S5.

    January 29th, 2008 - January 31st, 2008: Workshop on Integrability in the AdS/CFT correspondence

    January 25th, 2008 - Workshop on McKay correspondence for symplectic resolutions (following Bezrukavnikov-Kaledin)
    (January 25-26, joint with the group of H. Esnault and E. Viehweg, University Duisburg-Essen and M. Lehn, Universtiy Mainz) The aim of the Workshop is to understand the proof, due to Bezrukavnikov and Kaledin (McKay equivalence for symplectic resolutions of quotient singularities, arXiv:math/0401002), of a higher dimensional generalization of the so called McKay correspondence. This proof uses a rather large variety of ideas, so we hope that the proof itself might be as interesting as the result.

    January 23rd, 2008 - Speaker Maxim Kazarian

    Maxim Kazarian (Steklov Mathematical Institute, Moscow) will his second talk in the geometry-topology seminar in Utrecht on wednesday january 23 : 14.00-15.00 room 611B Math Institute.

    This talk is a continuation of his lecture on wednesday january 23

    Title: Moduli spaces, Hurwitz numbers, and integrable hierarchies (2).

    Abstract: see announcement for janary 16

    January 16th, 2008 - Speaker Maxim Kazarian

    Maxim Kazarian (Steklov Mathematical Institute, Moscow) visits the Department of Mathematics of Utrecht University from january 9 until february 2, 2008. He will give a series of 2 talks in the geometry-topology seminar in Utrecht:

    wednesday january 16 : 14.00-15.00 room 611B Math Institute

    wednesday january 23 : 14.00-15.00 room 611 B Math Institute

    Title: Moduli spaces, Hurwitz numbers, and integrable hierarchies.

    Abstract: The famous ELSV (Eckedah-Lando-Shapiro-Vainstein) formula relates two theories: the Hurwitz theory of enumerating ramified coverings of a sphere and intersection theory on the moduli spaces of curves. It provides on of the most natural and straightforward explanation of the relationship between intersection theory on moduli spaces and integrable hierarchies discovered by physicists. Starting from the ELSV formula, we derive a number of new equations on the generating functions for Hodge integrals over the moduli space of complex curves. This gives a new simple and uniform treatment of certain known results on Hodge integrals like Witten's conjecture, Virasoro constrains, Faber's $\l_g$-conjecture etc. Among other results we show that a properlyarranged generating function for Hodge integrals satisfies the equations of the KP hierarchy.

    Framework : NWO-RFBR-Project : Geometry and Singularity Theory in Mathematical Physics

    December 14th, 2007 - Intercity Seminar Algebra and Geometry
    Free University of Amsterdam, W&N Building

    11:00-12:45, Room KC 137
          Daniel Huybrechts: Derived equivalences and stability conditions (mainly for K3 surfaces)

    14:00-15:45, Room S 111
          Michel van den Bergh: 3-dimensional flops and non-commutative algebras.

    In the evening of the 14th we plan to have dinner in Amsterdam with the speakers. If you want to join us, please let me know (bmoonen at science.uva.nl), preferably before Wednesday 12 December.

    December 12th, 2007 - 2007 Twente Conference on Lie Groups: Dec 12-14

    The 2007 Twente Conference on Lie Groups will take place on December 12-14, 2007 at Twente University
    Organizer : Gerard Helminck

    Confirmed speakers include:
    V. Golovko, D. Gurevich, A.G. Helminck, E. Horozov, M. Iorgov, M. Kazarian, A. Khoroshkin, S. Khoroshkin, S. Lando, A. Marshakov, O. Morozov, Yu. Neretin, A. Unterberger.

    To register for the 2007 Twente Conference on Lie Groups, please send an e-mail to Gerard Helminck: helminckgf@ewi.utwente.nl

    November 30th, 2007 - GQT-Colloquium
    KdV Institute room P.227
    11:15-12:15 Elmar Schrohe: Index Theory for Boundary Value Problems via Continuous Fields of C*-algebras.
    13:30-14:30 Eric Rains: Elliptic hypergeometric integrals
    15:00-16:00 Claus Hertling: Oscillating integrals and tt* geometry.

    November 29th, 2007 - Speaker: Claus Hertling

    Geometry and Topology seminar: Time: 11.00, Location: Room 611B

    Speaker: Claus Hertling (Mannheim, Germany)

    Title: Distinguished bases and Stokes matrices for the simple and the simple-elliptic singularities.

    November 23rd, 2007 - Intercity Seminar Algebra and Geometry
    University of Amsterdam, KdV Institute (= Euclides building, = Building P)

    11:00-12:45, Room P 0.17
          Jan Stienstra: Stability conditions

    14:00-15:45, Room P 2.27
          Eduard Looijenga: The Bondal-Orlov conjecture, and Bridgeland's theorem for 3-folds

    November 2nd, 2007 - Intercity Seminar Algebra and Geometry
    Radboud University Nijmegen, Huygens Building, Room HG00.310

          Jochen Heinloth: Semi-orthogonal decompositions and t-structures

          Alex Quintero: The McKay correspondence

    October 12th, 2007 - Intercity Seminar Algebra and Geometry
    Leiden University

    11:00-12:45, Gorlaeus Laboratory, Room 03
          Ben Moonen: Orlov's theorem and reconstruction results

    14:00-15:45, Snellius Building, Room 174
          Jozef Steenbrink: An introduction to the minimal model program

    September 28th, 2007 - Intercity Seminar Algebra and Geometry
    The IC-seminar Algebraic Geometry is devoted to Derived categories and stability conditions will meet in Utrecht:

    11:00-12:45 Bas Edixhoven: General Introduction

    14:00-15:45 Gerard van der Geer: Mukai's results for abelian varieties and K3 surfaces

    Location: Buys Ballot Laboratory , Room BBL 106, For more information see the seminar list or click on the header.

    September 28th, 2007 - promotie Rogier Bos
    On Friday 28 September, 15:30, Rogier Bos will defend his thesis at the Radboud University Nijmegen with the title "Groupoids in Geometric Quantization". Promotor: Prof. dr. Klaas Landsman. Before the ceremony there will be a small symposium with three talks: 10:00-10:45 Jean Renault (Orleans): Cartan subalgebras in C*-algebras 11:00-11:45 Gijs Tuynman (Lille): The Lagrange formalism: a human mistake? 14:00-14:45 Ieke Moerdijk (Utrecht): Lie algebroids and the Milnor-Moore Theorem The talks will be in room HG 00.065.

    September 27th, 2007 - Farewell symposium Rainer Kaenders
    Dr. Rainer Kaenders wordt per 1 oktober hoogleraar in Keulen, en zal Nijmegen dus verlaten. Zijn vertrek zal worden opgeluisterd met een Wiskunde Onderwijs middag. Programma: 15:00 uur: Ontvangst met koffie en thee in de hal van het Huygensgebouw 15:45–17:30: Voordrachten in HG00.303 Prof. dr. Jan van de Craats, Het nieuwe rekenen Drs. Aad Goddijn, Het misverstandWiskunde Dr. Leon van den Broek, Het beweegt 17:30–19:00: Borrel in de vide van het Huygensgebouw

    September 19th, 2007 - Day on Algebraic Topology in Utrecht

    On September 19, a small symposium will be held on topics in Algebraic Topology.

    9.45 - 10.00 : Coffee
    10.00 - 11.00 : Kathryn Hess (Lausanne): "Koszul complexes and homotopy morphisms"
    11.15 - 12.15 : Tom Leinster (Glasgow): "Homotopy algebras for operads"
    14.00 - 15.00 : Jiri Rosicky (Brno): "Combinatorial model categories"
    15.30 - 16.30 : Clemens Berger (Nice): "The lattice path operad"

    The lectures will take place in BBL (Buys-Ballot Lab) , zaal 361. All interested are welcome to attend!

    September 18th, 2007 - Promotie Ittay Weiss
    Ittay Weiss will defend his thesis "Dendroidal Sets" at 14.30 in the Academiegebouw Promotor is Prof.dr. I. Moerdijk.

    September 14th, 2007 - GQT-Colloquium

    GQT colloquium, and kickoff of the Intercity Seminar on "Derived categories and stability conditions"

    Friday September 14th, 2007; 10:30 t/m 18:00

    Location: RU Nijmegen, Huygensgebouw and Linnaeusgebouw

    Richard Thomas (Imperial College, London)
    Lutz Hille (Univ. Bielefeld)
    Eric Opdam (UvA)

    10:30 - 11:00 Coffee
    11:00 - 12:15 Lutz Hille: Strongly exceptional sequences of line bundles on toric varieties, Huygensgebouw, HG00.062
    12:15 - 14:00 Lunch break
    14:00 - 15:15 Eric Opdam: Category O for rational Cherednik algebras, Linnaeusgebouw, N6
    15:15 - 15:30 Coffee
    15:30 - 16:45 Richard Thomas: Counting curves and stability of ideal sheaves, Linnaeusgebouw, N6
    16:45 - 18:00 Reception

    August 20th, 2007 - Geometric Aspects of Analysis and Mechanics, Hans Duistermaat 65th Birthday Conference

    time: August, Monday 20 through Friday 24, 2007

    Speakers include: Michael Atiyah, Nicole Berline, Jean-Michel Bismut, Yves Colin de Verdière, Richard Cushman, Nils Dencker, F. Alberto Grunbaum, Victor Guillemin, Tara Holm, Lisa Jeffrey, Eugene Lerman, Eckhard Meinrenken, Jiang-Hua Lu, Richard Melrose, Paul-Emile Paradan, Isadore Singer, Reyer Sjamaar, Johannes Sjöstrand, Gunther Uhlmann, San Vũ-Ngọc, Alan Weinstein

    More info: see website

    June 28th, 2007 - Talk Christian Blohmann: Differentiable stacks and noncommutative geometry

    Christian Blohmann (University of California, Berkeley) will speak on

    `Differentiable stacks and noncommutative geometry'

    Room: K8B (Basement Mathematics Building)

    Date and time: Thursday, June 28, 10:00 - 11:00 am.,

    Abstract: Differentiable stacks and noncommutative geometry are alternative methods to study geometric situations which are considered to be pathological in the sense of ordinary differential geometry, such as non-smooth quotients of differentiable manifolds or singularities of gauge fields. I will show how viewing these two approaches as dual to each other leads to a generalization of Hopf algebras and to Lie theory on differentiable stacks.

    June 26th, 2007 - Talk Sergey Shadrin: Givental symmetries of tautological equations.

    Dr Sergey Shadrin (Universität Zürich) speaks Tuesday June 26 11:00-12:00 in Room K8b on

    Givental symmetries of tautological equations.

    Abstract: I am going to dicsuss the system of PDEs that is called tautological equations. It comes from relations among natural classes in the cohomology of the moduli spaces of curves, and it can serve as a system of axioms for the correlators of topological conformal field theory. This system of PDEs has a huge group of symmetries that was discovered by Givental in genus 0. He proposed to quantize its action, and it was proved by Faber, myself, and Zvonkine that the quantized action also preserves the whole system of tautological relations in all genera.

    June 20th, 2007 - Talk Boris Shoikhet: "Koszul duality in deformation quantization"

    Boris Shoikhet (Univ de Luxembourg) will speak on Wednesday June 20 (14:00-15:00) in Room K8b on

    "Koszul duality in deformation quantization",

    Abstract: Let alpha be a polynomial Poisson bivector on a vector space V. Then Kontsevich constructs a star-product f * g on S(V^*), polynomial functions on V. We construct from alpha another algebra by generators and relations. We prove that this algebra obeys the Poincare-Birkhoff-Witt property. Even in the classical case we found a new, cohomological, proof of the PBW theorem, which shares some light on this theorem. We conjecture that the constructed algebra is isomorphic to the Kontsevich star-algebra. We discuss this conjecture, and its relation on our recent preprint math.0706.1333 on an explicit construction of the Quillen localization.

    June 14th, 2007 - Talk Sergey Natanzon : Singularities and noncommutative Frobenius manifolds

    Thursday June 14 from 13:00-14:00 in K11 there is a talk:

    Speaker: Sergey Natanzon (Independent University Moscow)

    Title: Singularities and noncommutative Frobenius manifolds

    Abstract: We prove that quaternion miniversal deformations of the A_n singularity possess a structure of noncommutative Frobenius manifold in the sense of an extended cohomological field theory.

    June 7th, 2007 - From Tate Curves to Zariski-Riemann Spaces: A Crash Course in Rigid Geometry by Fumiharu Kato (Kyoto)

    This series of lectures provides an introduction to rigid geometry with special emphasis on its birational-geometric aspects.
    Rigid geometry, often spelled as rigid analytic geometry, is an algebro-geometric framework that allows one to mimic the usual analytical approach to varieties over the complex numbers for varieties defined over, say, p-adic fields. The typical `analytical' features of rigid geometry can be seen in Tate's uniformization of elliptic curves, the so-called Tate curves, in which certain infinitudes, such as quotient by infinite groups, infinite power series, etc., make perfect sense. Later, M. Raynaud discovered that rigid geometry has a strong relationship with the geometry of formal schemes.
    Even after this historic shift from analytic geometry to algebraic geometry, rigid geometry still suffered from a serious deficiency of `visualization', which would bring an intuitive understanding of the spaces that appear. The original rigid geometry failed to have a correct notion of `points'. The correct `points', have been found independently by several people, such as R. Huber and K. Fujiwara. Fujiwara's theory, in particular, takes up Zariski's viewpoint of classical birational geometry, and provides the desired visualization by a formal geometric analogue of the so-called Zariski-Riemann spaces.

    Plan for the lectures
    (1) Introduction: Tate curves;
    (2) Playing around with the analytic projective line;
    (3) Rigid geometry by Tate and Raynaud;
    (4) Coherent topological spaces and valuative topological spaces;
    (5) Zariski's birational geometry;
    Nagata's embedding theorem;
    Flattening theorem;
    (6) Formal geometry and rigid geometry: Zariski-Riemann triple;
    (7) GAGA.

    Schedule The five lectures take place from 10--12 a.m. in room K8b (basement) of the Mathematical Institute of the University of Utrecht on the following days: Thursday 7th, Tuesday 12th, Thursday 14th, Tuesday 19th, Thursday 21st of June, 2007.

    Everybody is welcome! More information: contact Gunther Cornelissen at cornelis@math.uu.nl.

    June 7th, 2007 - Talk by Raf Blockland: An introduction to Calabi Yau Algebras
    Raf Bocklandt (Universiteit Gent) will talk this Thursday, June 7, 10:00-11:00 in Utrecht Room M204 (Minnaert Building) on: An introduction to Calabi Yau Algebras. Abstract: We will show how Calabi Yau Algebras naturally turn up in geometrical problems connected to Kleinian Singularities and String theory. Also we will give some classification results for these algebra

    June 4th, 2007 - Nijmegen Singularity Days, June 4th-5th

    Organizers: Dirk Siersma, Joseph Steenbrink

    This workshop will also be a meeting point of the
    * INTAS project “Singularities, Bifurcations and Monodromy”
    * NWO – Russia project “Geometry and Singularity Theory in Mathematical Physics”

    The workshop is funded by these projects and has additional funding from the Mathematical Research Institute MRI and the Fellowship for Geometry and Quantum Theory GQT.

    May 31st, 2007 - Nijmegen Geometry Days May 31th-June 2nd (in honour of Joseph Steenbrink)
    In honour of Joseph Steenbrink on his 60th birthday.

    Robbert Dijkgraaf, Amsterdam
    Luc Illusie, Parijs
    Theo de Jong, Mainz
    Eduard Looijenga, Utrecht
    Andras Nemethi, Columbus
    Frans Oort, Utrecht
    Chris Peters, Grenoble
    Morihiko Saito, Kyoto
    Duco van Straten, Mainz
    Orsola Tommasi, Hannover
    Claire Voisin, Parijs
    Steve Zucker, Baltimore

    Scientific Commitee:
    Gerard van der Geer, Amsterdam
    Gert Heckman, Nijmegen
    Eduard Looijenga, Utrecht
    Ben Moonen, Amsterdam
    Dirk Siersma, Utrecht

    Local Organisers:
    Gert Heckman, G.Heckman@math.ru.nl
    Frans Clauwens, F.Clauwens@math.ru.nl
    Roel Willems, R.Willems@math,ru.nl

    Greta Oliemeulen, maths@math.ru.nl

    All lectures will be held in the Huygens Building (HG00.307) of the Radboud University of Nijmegen.

    May 10th, 2007 - A. Gorinov in UU geometry and topology seminar NOTE: 10/5
    Title: Rational cohomology of the moduli spaces of pointed genus 1 curves

    Time: Thursday May 10, 14:00-15:00

    Place: Room 611B of the Mathematics Building, Utrecht

    April 26th, 2007 - S. Duzhin in UU geometry and topology seminar 26/4
    Title: Geometrization conjecture and Perelman's work

    Time: Thursday April 26, 14:00-15:00

    Place Room 611B of the Mathematics Building, Utrecht

    April 19th, 2007 - Special Seminar talk by Konstantin Styrkas 19/4 at UU
    Title: Resonance relations, holomorphic trace functions and hypergeometric solutions to qKZB equations.

    Time: Thursday April 19, 10:00-11:00

    Place: Room 611B of the Mathematics Building, Utrecht

    April 13th, 2007 - Joint Math-Physics seminar in Utrecht

    14:00 Vicente Cortes (Univ. Hamburg)
    Title: Cones over pseudo-Riemannian manifolds

    Abstract: By a classical theorem of Gallot (1979), a Riemannian cone over a complete Riemannian manifold is either flat or has irreducible holonomy. We consider metric cones with reducible holonomy over pseudo-Riemannian manifolds and obtain local and global structure theorems.

    15:00 Coffee Break

    15h15 J. Stienstra (Univ. Utrecht)
    Title: Geometric structures related to AdS/CFT

    Abstract: I will discuss connections (found in physics papers) between Sasaki-Einstein 5-folds on the one hand and quivers on the other hand. This will also involve intrigueing viewpoints on zero loci of 2-variable Laurent polynomials.

    16:15 Borrel

    March 26th, 2007 - Conference in honour of Richard Cushman (March 26-30)

    March 23rd, 2007 - GQT colloquium (Amsterdam). Speakers: S. Kato, E. Looijenga, B. Nienhuis.

    Location: University of Amsterdam, KdV Institute for Mathematics, Plantage Muidergracht 24, lecture room P.017.
    11.15-12.15 Bernard Nienhuis (UvA)
    Title: Statistical lattice models on a cylinder.
    12-15-13.30 Lunch
    13.30-14.30 Syu Kato (University of Tokyo, Japan)
    Title: An exotic Deligne-Langlands correspondence for symplectic groups.
    14.30-15.00 Coffee and tea.
    15.00-16.00 Eduard Looijenga (UU)
    Title: The moduli space of curves---a meeting point of algebraic geometers and geometric topologists.
    16.00-- Reception

    March 19th, 2007 - Conference on Combinatorics and Physics
    Date: March 19-23, 2007
    If you want to participate please send a short message to: combphys07@mpim-bonn.mpg.de
    More information: see website

    March 9th, 2007 - Symposium at the closing of the FOM/GBE programme on Mathematical Physics (speakers include Atiyah, Penrose, Yoccoz, Werner)
    On 9 March 2007 the FOM/GBE programme Mathematical Physics will end festively with an international symposium in the Keizersgrachtkerk in Amsterdam.
    Speakers include Sir Michael Atiyah, Sir Roger Penrose, Jean-Christophe Yoccoz and Wendelin Werner.
    The final programma will be announced mid-January. Registration will open around that time too. More information can be found in due time on the FOM-website.

    March 6th, 2007 - Two talks in Amsterdam (KdV); speakers Vicor Nistor and Ralf Meyer

    On March 6 Victor Nistor and Ralf Meyer will each give a talk at the KdV institute. The program is as follows:

    15-16: Victor Nistor (Penn State University),

    Title: "Analysis on Lie manifolds, well posedness on polyhedral domains, and optimal rates of convergence".

    16-17: Ralf Meyer (Georg-August-Universitt Goettingen),

    Title: Embeddings of derived categories.

    Place: Room 3.85, building J/K Valckenierstraat 65, 1018 XE Amsterdam.

    February 22nd, 2007 - Utrecht General Colloquium talk by Arthemy Kiselev (IHES): Pre-Hamiltonian formalism for integrable nonlinear systems
    15:00 (Eigenruimte) Tea/Coffee and cookies
    15:3--16:30 (K11) General Mathematical Colloquium
    Arthemy Kiselev (IHES): Pre-Hamiltonian formalism for integrable nonlinear systems

    February 22nd, 2007 - Lecture by Yuri Berest (Cornell University and IHES)
    in the UvA Representation Theory Seminar.
    Title: Ideals of rings of differential operators on algebraic curves.
    Time: 11.00-12.00
    Location: Amsterdam, KdV Institute, room P.016.

    February 9th, 2007 - GQT colloquium RU (Nijmegen); Speakers: Bunke, Marcolli, Meyer
    For further information see the GQT colloquium page.

    February 1st, 2007 - Utrecht General Colloquium talk by Eric Opdam (UvA): Euler-Poincare formula for tempered characters of affine Hecke algebras
    15:00 (Eigenruimte) Tea/Coffee and cookies
    15:30--17:15 (Minnaert 211) General Mathematical Colloquium
    Eric Opdam (UvA): Euler-Poincare formula for tempered characters of affine Hecke algebras
    part 1: The Plancherel formula for Hecke algebras: motivation and basic results
    part 2: Index functions and formal dimensions

    January 18th, 2007 - Utrecht General Colloquium talk by Walter van Suijlekom (RU): Renormalization of gauge fields: A Hopf algebra approach
    15:00 (Eigenruimte) Tea/Coffee and cookies
    15:3--16:30 (K11) General Mathematical Colloquium
    Walter van Suijlekom (RU): Renormalization of gauge fields: A Hopf algebra approach

    December 13th, 2006 - The 2006 Twente conference on Lie groups
    From 13-15 December 2006 the annual Twente conference on Lie groups takes place. For more information contact Gerard Helminck by sending an email to helminckgf@cs.utwente.nl

    November 30th, 2006 - J. Martens (MPI) in Utrecht

    J. Martens will speak in the geometry and topology seminar.

    Title: Equivariant volumes of non-compact quotients and instanton counting

    Location and time: 14:00-15:00 in room 611a in the math building

    November 28th, 2006 - Mini-workshop on index theory of singular spaces

    Location: RU Nijmegen, Huygens Building (FNWI)

    Tuesday 28/11

    10:45- 12:00 Walter van Suijlekom (MPIM), Local index formula for SU_q(2)
    Location: HG01.057

    13:45-14:30 & 14:45-15:30 Varghese Mathai (Adelaide) Twisted index theory on orbifolds I+II
    Location: HG01.057

    16:00-17:15 Hessel Posthuma (Utrecht) Cyclic homology theory of deformations over orbifolds
    Location: HG01.057

    Wednesday 29/11

    10:15 - 11:30 Markus Pflaum (Mainz) Algebraic index theory and deformations over orbifolds
    Location: HG03.084

    12:45-13:30 & 13:45-15:00 Varghese Mathai (Adelaide) Twisted index theory on orbifolds III+IV
    Location: HG02.032

    Note! All talks are meant for an audience with good knowledge of index theory, K-theory and noncommutative geometry

    November 24th, 2006 - GQT-Colloquium

    joint meeting of the GQT-Colloquium and the Utrecht joint seminar on mathematical physics

    14:00-15:00 Varghese Mathai (Adelaide), T-duality in a background H-flux

    Abstract. This talk will be concerned with global aspects of T-duality on compactified spacetimes that are torus bundles, in the presence of a topologically nontrivial background H-flux. The characterization of when exactly the T-dual is another torus bundle with H-flux will be discussed. Global, nonclassical spacetimes will be proposed in the other cases, and justified. Finally, the current status of this theory will be outlined.

    15:15-16:15 Erik Verlinde (UvA), Strings, Symmetric Products and the Elliptic Genus

    16:20-???? reception

    Location: UU Mathematics Building, room K11

    November 23rd, 2006 - Colloquium Lecture by Varghese Mathai


    Utrecht Colloquium lecture

    Varghese Mathai (Adelaide): On a curious extension of the Atiyah-Singer index theorem

    Location: room K11, Mathematics Building

    November 20th, 2006 - Mathai Varghese at UvA

    Mathai Varghese (Adelaide, Australia) will give a talk at the KdVI institute on his recent work with Melrose and Singer on index theory (math.DG/0402329 + followup work).

    Time: Monday November 20, from 11-12,

    Room: P0.19 (gebouw Euclides, Plantage Muidergracht 24),

    Title: Fractional Analytic Index.

    November 16th, 2006 - Colloquium lecture by J.D. Lewis


    Utrecht Colloquium Lecture

    J.D. Lewis (Alberta): Variants of the cycle class map

    Location: room K11, Mathematics Building

    November 9th, 2006 - UU Topology & Geometry lecture by E. Emsiz (UvA)

    14.00-15.00 Room 611a mathematics building

    Title: Affine Weyl groups and integrable systems with delta potentials

    October 13th, 2006 - IMAPP Symposium ``The Origin of the Universe: Mathematics, Astrophysics or Particle Physics?''

    October 10th, 2006 - Scientific Meeting at the Cluster Opening

    Time: 13:00-16:00

    Location: Belle van Zuylenzaal, Academiegebouw Utrecht


    13:30-14:30 Pierre Cartier (IHES, France) Towards a "cosmic Galois group": two parallel hierarchies of polyhedra and their meaning for number theory and quantum field theories
    15:00-16:00 Alan Weinstein (UC Berkeley, USA) The quantum torus as a quantum "group"

    Registration via NWO-website is required!

    October 10th, 2006 - Official opening ceremony of the GQT-cluster by Minister of Education

    Time: 16.00-17.30

    Location: Senaatszaal, Academiegebouw Utrecht

    Meeting of the Mathematical Clusters at the occasion of the official opening of the GQT-cluster by the Minister of Education, Culture and Science.

    Followed by drinks at 17:30

    Registration via NWO-website is required!

    October 8th, 2006 - Modular forms, October 8-13

    The topic of the conference is the theory of modular forms, both the geometric as well as the arithmetic aspects.

    Expected participants include: Bergström, Boecherer, Bosman, Bruinier, Diamond, Edixhoven, Faber, van der Geer, Gritsenko, Grushevski, Ibukiyama, R. de Jong, Katsura, Kondo, Kudla, Meagher, Moonen, Pollack, Rajan, Rastegar, Salvati-Manni, Savin, Shepherd-Barron, Taelman, Wiese, Zagier.

    The conference is held at the traditional Hotel van der Werff on Schiermonnikoog island, the Netherlands.

    September 28th, 2006 - Symposium "Geometry in Autumn" (September, 28th-29th)

    This short symposium at the Lorentz Centre in Leiden is devoted to recent developments in complex algebraic geometry. Some of the topics the symposium focuses on are moduli spaces, algebraic curves and surfaces, and vector bundles. We will also look back and evaluate the developments since the symposium 'Geometry in Autumn I' held about ten years ago on the occasion of the retirement of Van de Ven.

    Speakers: E. Amerik, W. Barth, A. Beauville, F. Catanese, G. Deschamps, G. Farkas, K. Hulek.

    Lectures will start on Thursday September 28 at 2 pm. The symposium will end in the early afternoon of Friday.

    Participants are requested to register at the Lorentz Center.

    Organizers: Bas Edixhoven, Gerard van der Geer Martin Luebke

    September 22nd, 2006 - Lectures by Jan Stienstra and Vasily Golyshev

    Intercity Number Theory Seminar

    13:00-14:00 Vasily Golyshev (Moscow), Spectra and Their Arithmetic

    14:15-15:15 Jan Stienstra (Utrecht), Apery-like numbers, differential equations of type DN and dimer models

    Location: UU Mathematics Building, room K11

    September 20th, 2006 - Lecture by Alessio Corti



    Alessio Corti (Imperial College): Orbifold quantum cohomology of Fano toric stacks

    Location: room K11, Mathematics Building

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