Geometry and Quantum Theory (GQT)

Events

1 January 2014

Events 2014

GQT Graduate School and Colloquium
November 14th, 2014

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.


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


GQT Graduate School and Colloquium
July 2nd, 2014

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.


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

This meeting will take place in Nijmegen from June 19-20, 2014Speakers
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
http://www.ru.nl/math/research/vmconferences/2014-higher/


Workshop on Instanton Counting: Moduli Spaces, Representation Theory and Integrable Systems
June 16th, 2014
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 Sacc�, 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.


Workshop “Knots and Physics”
May 20th, 2014
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.

Everybody is welcome!


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


4th workshop Higher Geometric Structures along the Lower Rhine
February 13th, 2014
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.

Speakers
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\


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

Speakers:
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)

Organisers:
Eduard Looijenga, Eric Opdam and Maarten Solleveld


Workshop “Moduli of curves and mathematical physics”
January 23rd, 2014

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!


GQT Graduate School and Colloquium
January 14th, 2014
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.