##### Department of Mathematics,

University of California San Diego

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### Math 295 - Colloquium

## Nitya Kitchloo

#### Johns Hopkins University

## Topology of Infinite dimensional Groups

##### Abstract:

I will give a general framework to study the topology of infinite dimensional groups via their actions on contractible spaces known as Buildings. The groups of interest to us will be loop groups, Kac-Moody groups, symplectomorphism groups and similar transformation groups. I will give examples of natural buildings associated to such groups and use them to derive some consequences.

Host: P. Teichner

### February 12, 2004

### 3:00 PM

### AP&M 6438

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