ESI School and Conference
Geometry and Quantization GEOQUANT 2013

Overview

Scientific Topics:

• algebraic-geometric and complex-analytic-geometric aspects of quantization
• geometric quantization and moduli space problems
• asymptotic geometric analysis
• infinite-dimensional geometry
• relations with modern theoretical physics.

The first week (August 19 - 23, 2013) will be a summer school addressing mainly students, post-docs and other researchers who are interested in entering the field.

The second week (August 26 - 30, 2013) will be an international conference.

Previous schools and conferences were held 2005 in Japan (Nagoya and Tokyo), 2007 in Russia (Steklov Mathematical Institute, Moscow), 2009 in Luxembourg and 2011 in China ( Beijing and at the Chern Institute).

See also a link to the archive of the GEOQUANT schools and conferences (in Russian language).

School

Lecture courses

• Yael Fregier (MIT, USA; Lens, France): Moduli spaces of algebraic structures and Maurer-Cartan equations
• Harald Grosse (Vienna, Austria): An introduction to non-commutative quantum field theory
• Alexander Kuznetsov (Steklov Mathematical Institute, Moscow, Russia): Derived categories of coherent sheaves and moduli spaces
• Yoshihiro Ohnita (Osaka City University, Japan): Hamiltonian stability problem of Lagrangian submanifolds in Kähler manifolds
• Vincent Rivasseau (Paris, France): Random tensors
• Boris Shoikhet (Antwerp, Belgium): About deformations
• Katrin Wendland (University of Freiburg, Germany): K3 surfaces: Geometry, conformal field theory and number theory

Here the schedule for the school can be found. Here some of the abstracts for the school are given.

Conference

Talks on the conference

• Anton Alekseev, Geneva, Switzerland   Logarithms and deformation quantization (tentatively)
• Ugo Bruzzo, Trieste, Italy   Stacky resolutions of moduli spaces of instantons
• Detlev Buchholz, Göttingen, German   The resolvent algebra: a new approach to canonical quantum systems
• Miroslav Englis, Prague   Spektral triples and Toeplitz operators
• Jürgen Fuchs Karlstad, Sweden   Three-dimensional topological field theories on manifolds with boundaries and defects
• Hajimi Fujita, Tokyo, Japan   Equivariant local index and transverse index for circle action
• Tomohiro Fukaya, Sendai, Japan   The coarse Baum-Connes conjecture for relatively hyperbolic groups
• Alexey Gorodentsev, Moscow, Russia   Mukai Lattices
• Brain Hall, Notre Dame, USA   The large-N limit of the Segal-Bargmann transform on unitary groups
• Alexander Karabegov, Abilene, USA   On Gammelgaard’s formula for a star product with separation of variables
• Will Kirwin, Cologne, Germany   Complex-time evolution in geometric quantization
• Ryoichi Kobayashi, Nagoya, Japan   Hamiltonian Volume Minimizing Property of Maximal Torus Orbits in Complex Projective Space
• Gandalf Lechner, Leipzig, Germany   Non-local perturbations of hyperbolic PDEs and QFT models on non-commutative spacetimes
• Xiaonan Ma, Paris, France   Flat vector bundle and Toeplitz operators
• George Marinescu, Cologne   Equidistribution of random zeros on complex manifolds
• Shin-Ichi Oguni, Matsuyama, Japan   On the coarse Baum-Connes conjecture
• Alexey Parshin, Moscow, Russia   Base change and automorphic induction in the Langlands theory
• Armen Sergeev, Moscow, Russia   Quantum Calculus and non-commutative Bloch theory
• Andrei Shafarevich, Moscow, Russia   Quantization conditions on Riemann surfaces and spectral series of non-selfadjoint operators
• Georgy Sharygin, Moscow, Russia   Full symmetric Toda system and Bruhat order
• Dimitry Talalaev, Moscow, Russia   On deformation quantization of integrable systems
• Alejandro Uribe, Michigan University, USA   The exponential map of the complexification of Ham(M,omega) in the real-analytic case
• Michele Vergne, Paris, France   An Euler-MacLaurin formula for the equivariant index of a transversally elliptic operator
• Siye Wu, Hong Kong, China   Hitichin's equation on a non-orientable manifold
• Tilmann Wurzbacher, Metz, Bochum   Integration of vector fields on supermanifolds and applications
• Takahiko Yoshida, Tokio , Japan   On the local index
• Xiangyu Zhou, Beijing, China   Some results on the L2 extension problem

Information for the speakers: The slot for the talks will be 50 minutes, consisting of 45 minutes talk and 5 minutes discussions.

Programm of the conference

Here the final schedule for the conference can be found. The abstracts can be found here.
For both school and conference the the programm will start on Monday morning and will end on Friday late afternoon.

List of participants

(omitted)

Webpage

As soon as further details will be known they will appear on the webpage of the activity http://math.uni.lu/geoquant2013

Contact

• As far as the scientific content and the program is concerned, please contact Martin Schlichenmaier (University of Luxembourg) :martin.schlichenmaier@uni.lu
• For all other information, like accommodation, travel, visa, etc. please first check the homepage of the ESI . If this does not answer your question you might contact the ESI administration via secr@esi.ac.at

Sponsors

• Erwin-Schrödinger International Institute for Mathematical Physics (ESI), Vienna, Austria
• ESF Research Networking Programme ITGP (Interaction of Geometry and Low-Dimensional Topology with Mathematical Physics)
• Foundation Compositio Mathematica
• University of Luxembourg, Mathematics Research Unit
• Belspo IAP Project DYGEST, Belgium