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401-5001-00L DR D-CHAB , D-MAVT , D-MTEC , D-MATH , D-BIOL

Moment Maps, Equivariant Cohomology, and Their Applications

VVZ CR n/a

Last Updated: 2026-02-05 15:06:38

Content

The course will consist of two parts. In the introductory part, we'll cover the following topics: 1) Elementary symplectic geometry and the Moser trick. 2) Group actions on symplectic manifolds, moment maps. 3) Equivariant cohomology and localization formulas. In the more advanced part of the course, we'll apply our basic techniques to the following questions: a) Group valued moment maps and twisted cohomology. b) Witten's formulas for intersection pairings on the moduli spaces of flat connections over 2-manifolds. c) Kashiwara-Vergne conjecture in Lie theory, Thompson conjecture in linear algebra.

General Information

Language
English
Levels
DR

Examination

Type
no performance assessment

Course Components

Type Title Time & Place Hours
lecture Moment Maps, Equivariant Cohomology, and Their Applications
Beginn: 02.11.2006
  • Thu 10:15-12:00 (HG G 43)
2 h weekly

Offered In