Scientific Topics:

algebraicgeometric and complexanalyticgeometric aspects of quantization

geometric quantization and moduli space problems

asymptotic geometric analysis

infinitedimensional geometry

relations with modern theoretical physics.
The first week (August 19  23, 2013) will be a summer school addressing
mainly students, postdocs 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).
Lecture courses

Yael Fregier (MIT, USA; Lens, France):
Moduli spaces of algebraic structures and
MaurerCartan equations

Harald Grosse (Vienna, Austria):
An introduction to noncommutative 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.
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
Threedimensional 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 BaumConnes conjecture for relatively hyperbolic groups
 Alexey Gorodentsev, Moscow, Russia
Mukai Lattices
 Brain Hall, Notre Dame, USA
The largeN limit of the SegalBargmann transform on unitary groups
 Alexander Karabegov, Abilene, USA
On Gammelgaard’s formula for a star product with separation of variables
 Will Kirwin, Cologne, Germany
Complextime evolution in geometric quantization
 Ryoichi Kobayashi, Nagoya, Japan
Hamiltonian Volume Minimizing Property of
Maximal Torus Orbits in Complex Projective Space
 Gandalf Lechner, Leipzig, Germany
Nonlocal perturbations of hyperbolic PDEs and QFT
models on noncommutative spacetimes
 Xiaonan Ma, Paris, France
Flat vector bundle and Toeplitz operators
 George Marinescu, Cologne
Equidistribution of random zeros on complex manifolds
 ShinIchi Oguni, Matsuyama, Japan
On the coarse BaumConnes conjecture
 Alexey Parshin, Moscow, Russia
Base change and automorphic induction in the Langlands theory
 Armen Sergeev, Moscow, Russia
Quantum Calculus and noncommutative
Bloch theory
 Andrei Shafarevich, Moscow, Russia
Quantization conditions on Riemann surfaces and spectral
series of nonselfadjoint 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 realanalytic case
 Michele Vergne, Paris, France
An EulerMacLaurin formula for the equivariant index
of a transversally elliptic operator
 Siye Wu, Hong Kong, China
Hitichin's equation on a nonorientable 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
 ErwinSchrödinger International Institute
for Mathematical Physics (ESI), Vienna, Austria
 ESF Research Networking Programme ITGP
(Interaction of Geometry and LowDimensional Topology with
Mathematical Physics)

Foundation Compositio Mathematica

University of Luxembourg, Mathematics Research Unit

Belspo IAP Project DYGEST, Belgium