International School and Conference on Geometry and Quantization
The 2021 Geoquant activity took place in a hybrid manner at the
Freiburg in Germany
August 2nd to August 13, 2021.
Corresponding member in the organisation committee was
See the links:
Some of the presentations were video-taped (see the links above)
GEOQUANT is a biennial international school and conference
It is dedicated to Geometry related to Quantization
and its applications.
This is a field of ongoing intensive
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
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
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
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
This committee is always augmented by local members.
Jørgen Ellegaard Andersen (University of Southern 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).
The main topic is always the same: Geometry and Quantization
but every time we focus on some particular aspect
In particular new developments are always taken up.
In this way GEOQUANT reached in the meantime a very high
reputation in the scientific community.
Centre of Quantum Geometry
of Moduli spaces (QGM), University of Aarhus, Denmark
2015: ICMAT, Madrid, Spain
2013: Erwin-Schrödinger Institute (ESI), Vienna, Austria
Institute of Mathematics of the Chinese Academy of
and the Chern Institute of Mathematics, Nankai University, China
Mathematics Research Unit of the University of Luxembourg,
2007: Steklov Institute of
Mathematics, Moscow, Russia
2005 at the Nagoya University and Tokyo University of
Volumes dedicated to GEOQUANT
In the scientific series travaux mathematiques of the
University of Luxembourg the following three volumes appeared
related to GEOQUANT
Special Issue dedicated to scientific contributions of
the Centre of Quantum Geometry of Moduli Spaces,
QGM, Aarhus University, Denmark,
Special issue based on the school GEOQUANT at the
ICMAT, Madrid, Spain, 2015
Special Issue: Geometry and Quantization. Lectures of the school GEOQUANT 2009
at the University of Luxembourg.
The GEOQUANT activity does not have its own budget.
We always rely on the generous support of the hosting
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
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
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
It is not yet decided where it will take place.