##### Department of Mathematics,

University of California San Diego

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### Math 292 - Topology Colloquium

## Eckhard Meinrenken

#### University of Toronto

## Twisted K-homology and Lie groups

##### Abstract:

The twisted K-theory of a space was introduced by Donovan-Karoubi (1970) for torsion twistings and by Rosenberg (1989) in general. Motivated by applications in mathematical physics, the theory has attracted a lot of interest in recent years. In this talk I will review some of the foundations of twisted K-homology, and outline a new proof of the Freed-Hopkins-Teleman theorem describing the twisted equivariant K-homology of simple, simply connected compact Lie groups.

Host: Nitya Kitchloo

### March 20, 2006

### 12:30 PM

### AP&M 7321

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