ESI Program on
Higher Structures in Mathematics and Physics
Vienna, September 1 - November 7, 2010
|
ESI Program on |
Organizers |
Anton Alekseev (Geneva), Henrique Bursztyn (IMPA, Rio de Janeiro), Thomas Strobl (Lyon) |
| Overview | Activities | School and Conference | Participants |
The purpose of this program is to bring together specialists with diverse
backgrounds working in the field of higher structures in mathematics, as well
as mathematical and theoretical physics. Higher structures emerged as a new
field in recent years, but the trend has been visible for the last two decades.
Among many different topics this field encompasses the following areas:
1. Generalizations of symplectic and Poisson geometry which include Dirac
geometry, exotic moment map theories (with values in Lie and Poisson-Lie
groups), Courant algebroids and Lie n-algebras, gerbes, and generalized complex and Kahler
structures.
2. Higher degree graded manifolds, higher gauge theories and gauged
supergravity.
3. Quantum groups and quasi-Hopf algebras, the theory of Drinfeld
associators and applications to low dimensional topology.
These topics actively interact with one another, and they have all undergone
intense developments in recent years. A central goal of the program is to
bring into focus the latest advances in the field and encourage the
interaction between specialists from different branches (notably, physicists
and mathematicians).
Besides regular seminars, we will have special minicourses throughout the program.
In the end of October, we will host the annual conference on higher structures, preceded by a school geared towards
graduate students and young researchers.
The program is in preliminary form and precise dates of activities are yet to be fixed. This page is being updated regularly and will have
complete information soon.
Program activities | |
| September 8-24 | Minicourse: Introduction to higher gauge theories (U. Schreiber/T. Strobl/C. Laurent-Gengoux) |
| September 10-17 | Minicourse: Supergeometry and differential graded manifolds (D. Roytenberg/T. Voronov) |
| September 17-23 | Minicourse: Introduction to gauged super gravity (H. Samtleben) |
| September 27 - October 1 | Minicourse: An introduction to modern category theory (C. Lazaroiu) |
| October 07-11 | Minicourse: Categorified symplectic geometry (C. Rogers) |
| October 19-22 | School on higher structures |
| October 25-29 | Conference on higher structures |