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All events
December 10th, 2010 - GQT colloquium
Place: Nijmegen.
October 8th, 2010 - GQT colloquium
Place: Amsterdam
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.
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
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.
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
Abstracts.
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.
Program:
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:
http://www.few.vu.nl/~jeu/Stieltjesonderwijsweek-2010.html
December 22nd, 2009 - Special day on Lie groups
At the occasion of the thesis defense of Vincent van der Noort
Program:
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.
Program:
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.
Program:
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
Programme:
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)
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
Abstracts:
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
Speakers:
(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).
Schedule:
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
Directions.
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.
Abstract:
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.
Abstract:
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.
Abstract:
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).
Programma:
10.30-11.30 Ontvangst met koffie en thee.
11.00-12.00 Mihai Tibar (Lille): Walk in the forest of Milnor fibrations
Lunch
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 VeenJune 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
Speakers:
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
Schedule:
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
Abstracts:
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
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
11:00-12:45
Jochen Heinloth: Semi-orthogonal decompositions and t-structures
14:00-15:45
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"
Lunch
14.00 - 15.00 : Jiri Rosicky (Brno): "Combinatorial model categories"
Tea
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
Speakers:
Richard Thomas (Imperial College, London)
Lutz Hille (Univ. Bielefeld)
Eric Opdam (UvA)
Schedule
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.
Speakers:
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
Secretary:
Greta Oliemeulen, maths@math.ru.nl
024-3652986
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
Program:
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.
Program:
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
15.30-16.30
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
15.30-16.30
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?''
One of the most spectacular scientific symposia ever held in The Netherlands will take place on Friday, October 13th at the FNWI in Nijmegen. This is the IMAPP-Symposium (IMAPP being the Institute for Mathematics, Astrophysics and Particle Physics within the Faculty of Science).
The speakers at the symposium are:
| Hans Küng (Theologian, author of numerous books) |
| Roger Penrose(Winner of the Wolf Prize, Mathematician and Cosmologist) |
| Gerard 't Hooft (Nobel Laureate in Physics 1998) |
| Jos Engelen (Director of CERN) |
| Don Zagier (Director of the Max-Planck-Institute for Mathematics, Bonn) |
| Rajiv Sunyaev (Director of the Max-Planck-Institute for Astrophysics, Garching) |
Registration via the website is strictly necessary!
October 10th, 2006 - Scientific Meeting at the Cluster Opening
Time: 13:00-16:00
Location: Belle van Zuylenzaal, Academiegebouw Utrecht
Speakers:
| 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
16.15-17.15
Lecture
Alessio Corti (Imperial College): Orbifold quantum cohomology of Fano toric stacks
Location: room K11, Mathematics Building