GEOQUANT
International School and Conference on Geometry and Quantization
The 2021 Geoquant activity took place in a hybrid manner at the
AlbertLudwigsUniversity
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 videotaped (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

algebraicgeometric and complexanalyticgeometric aspects of quantization

geometric quantization and moduli space problems, e.g.
of vector bundles, Higgs bundles and more

asymptotic geometric analysis

infinitedimensional Kähler geometry and its relation to quantum
field theory and string theory

infinitedimensional 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 crossfertilization 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 SchoolConference 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

2021conf,
2021school,
Freiburg, Germany,

2019: Taiwan

2017:
Centre of Quantum Geometry
of Moduli spaces (QGM), University of Aarhus, Denmark

2015: ICMAT, Madrid, Spain

2013: ErwinSchrödinger Institute (ESI), Vienna, Austria

2011:
Institute of Mathematics of the Chinese Academy of
Sciences, Beijing,
and the Chern Institute of Mathematics, Nankai University, China

2009conf,
2009school:
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 LowDimensional 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

EUCost Network Quantum structure of spacetime (QSPACE)
 ErwinSchrödinger 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, PaderbornMetz

Europian Research Council (ERC Grant)

Mathematical Institute, AlbertLudwigsUniversity Freiburg,
 DFG Research Traning Group,
Cohomological Methods in Geometry
 Department of Mathematics, Universite de HauteAlsace

Different Japanese Funds
 ......
Next meeting
It is not yet decided where it will take place.