GEOQUANT
International School and Conference on Geometry and Quantization
The 2021 Geoquant activity took place in a hybrid manner at the
Albert-Ludwigs-University
Freiburg in Germany
August 2nd to August 13, 2021.
Corresponding member in the organisation committee was
Katrin Wendland.
See the links:
School
and
Conference.
Some of the presentations were video-taped (see the links above)
GEOQUANT is a biennial international school and conference
activity.
It is dedicated to Geometry related to Quantization
and its applications.
This is a field of ongoing intensive
mathematical research.
The appearing mathematical problems
mainly originate from inside the mathematical theory.
But, particular during the last years, a
number of challenging
mathematical problems came from theoretical physics.
It is the scientific goal of the activity to
address both kind of problems.
Examples of topics
are
-
algebraic-geometric and complex-analytic-geometric aspects of quantization
-
geometric quantization and moduli space problems, e.g.
of vector bundles, Higgs bundles and more
-
asymptotic geometric analysis
-
infinite-dimensional Kähler geometry and its relation to quantum
field theory and string theory
-
infinite-dimensional Lie algebras and groups and their
representations
-
the geometry of integrable systems
-
relations with modern theoretical physics.
Since 2005, we organise every second year at different
places of the world a meeting. It is the goal
to attract
mathematicians from Europe, Russia, Japan,China,
USA and elsewhere. In this way we
foster the international
collaboration of mathematicians working in the field, give
a cross-fertilization of different communities in the field
to bundle their efforts and to enable interesting results on open problems.
The meeting was hosted by different institutions all over the world.
The first week of the School-Conference is
a school for young scientists,
the second week is a
scientific conference dealing with the topics described above.
During the school part young scientists
and newcomers to the field will get acquainted with the
mathematical basics needed
to profit from the scientific talks
Scientific Organization Committee
The activity is run by a scientific standing committee
consisting currently of
-
Jørgen Ellegaard Andersen (University of Southern Denmark,
Denmark)
- Huijun Fan (Peking University, China)
-
Ryoichi Kobayashi (Nagoya University, Japan)
-
Martin Schlichenmaier (Luxembourg University, Luxembourg)
-
Armen Sergeev (Steklov Mathematical Institute, Moscow, Russia)
-
Oleg Sheinman (Steklov Mathematical Institute, Moscow, Russia).
-
Siye Wu (National Tsing Hua University, Hsingu, Taiwan).
This committee is always augmented by local members.
Main contacts:
Previous locations
were
-
2021-conf,
2021-school,
Freiburg, Germany,
-
2019: Taiwan
-
2017:
Centre of Quantum Geometry
of Moduli spaces (QGM), University of Aarhus, Denmark
-
2015: ICMAT, Madrid, Spain
-
2013: Erwin-Schrödinger Institute (ESI), Vienna, Austria
-
2011:
Institute of Mathematics of the Chinese Academy of
Sciences, Beijing,
and the Chern Institute of Mathematics, Nankai University, China
-
2009-conf,
2009-school:
Mathematics Research Unit of the University of Luxembourg,
Luxembourg
-
2007: Steklov Institute of
Mathematics, Moscow, Russia
-
2005 at the Nagoya University and Tokyo University of
Technology, Japan
The main topic is always the same: Geometry and Quantization
but every time we focus on some particular aspect
of it.
In particular new developments are always taken up.
In this way GEOQUANT reached in the meantime a very high
reputation in the scientific community.
Volumes dedicated to GEOQUANT
In the scientific series travaux mathematiques of the
University of Luxembourg the following three volumes appeared
related to GEOQUANT
-
volume 25:
Special Issue dedicated to scientific contributions of
the Centre of Quantum Geometry of Moduli Spaces,
QGM, Aarhus University, Denmark,
-
volume 24:
Special issue based on the school GEOQUANT at the
ICMAT, Madrid, Spain, 2015
-
volume 19:
Special Issue: Geometry and Quantization. Lectures of the school GEOQUANT 2009
at the University of Luxembourg.
Financial Support
The GEOQUANT activity does not have its own budget.
We always rely on the generous support of the hosting
institutions.
Furthermore, we gratefully acknowledge support form
other (local, national, international) research networks
and science supporting agencies.
For example we obtained support from (in an unordered list)
-
ESF research network:
Interactions of Low-Dimensional Topology and Geometry with
Mathematical Physics (ITGP)
-
ESF research network: Harmonic and Complex Analysis and its Applications (HCAA)
-
Foundation Compositio Mathematica
-
Centre for Quantum Geometry of Moduli Spaces (QGM), Aarhus University
-
University of Luxembourg, Mathematics Research Unit
-
Belspo IAP Project Dynamics, Geometry and Statistical Physics
(DYGEST),
Belgium
-
Carlsberg Foundation
-
Aarhus University Research Foundation
- Ministry of Science and Technology (MOST) Taiwan
-
Mathematical Research Promotion Center (MRPC), Taiwan
-
Institute of Mathematical Sciences (ICMAT), Madrid
-
EU-Cost Network Quantum structure of spacetime (QSPACE)
- Erwin-Schrödinger International Institute for
Mathematical Physics (ESI), Vienna
- Russian Academy of Science
-
Lomonosov Moscow State University
-
Fonds National de la Recherche Luxembourg (FNR)
-
Luxembourg Mathematical Society (SML)
-
Mathematical Institute of the University
of Nagoya
-
Mathematics Institute (LMAM) of the University Paul Verlaine, Metz
-
IRTG Geometry and Analysis of Symmetries, Paderborn-Metz
-
Europian Research Council (ERC Grant)
-
Mathematical Institute, Albert-Ludwigs-University Freiburg,
- DFG Research Traning Group,
Cohomological Methods in Geometry
- Department of Mathematics, Universite de Haute-Alsace
-
Different Japanese Funds
- ......
Next meeting
It is not yet decided where it will take place.