# University of Toronto's Symplectic Geometry Seminar

Feburary 5, 2007, 3:10pm

BA 2165

## Eckhard Meinrenken

### Toronto University

## Twisted K-homology and group-valued moment maps

**Abstract: **
According to the Freed-Hopkins-Teleman theorem, the twisted
equivariant K-homology of a simple Lie group G at level k is equal to
the fusion ring R_k(G). In this talk, I will explain how to define the
quantization of group-valued moment maps as a K-homology
push-forward. The resulting element in R_k(G) is computed by localization.