The 2019 Geoquant activity will take place in Taiwan from September 2nd to September 13, 2019. Details will appear soon.

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.

- 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

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

- Jørgen Ellegaard Andersen (Aarhus University, 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).

Martin Schlichenmaier, University of Luxembourg,

geoquant@uni.lu

- 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: Tokyo University of Technology and Nagoya University, Japan.

- 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.

- 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
- 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
- Diverse Japanese Funds
- ......