Past lectures
Moment maps, equivariaant cohomology, and their applications
Prof. Dr.
Anton
Alekseev
University of Geneva
November 2, 2006 -
February 15, 2007
Date and time: Thursdays, 10:15 - 12:00
Location: HG G 43
Abstract
The course will consist of two parts. In the introductory part, we'll cover the following topics:
Elementary symplectic geometry and the Moser trick.
Group actions on symplectic manifolds, moment maps.
Equivariant cohomology and localization formulas.
In the more advanced part of the course, we'll apply our basic techniques to the following questions:
Group valued moment maps and twisted cohomology.
Witten's formulas for intersection pairings on the moduli spaces of flat connections over 2-manifolds.
Kashiwara-Vergne conjecture in Lie theory, Thompson conjecture in linear algebra.