##### Department of Mathematics,

University of California San Diego

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### Math 292 - Topology Colloquium

## Nitya Kitchloo

#### Johns Hopkins University

## Topology of Symplectomorphism Groups

##### Abstract:

I describe the topology of (the classifying space of) the symplectomorphism groups of a family of symplectic 4-manifolds. In particular, we calculate the integral cohomology of these classifying spaces. We also study the space of compatible complex structures on these symplectic manifolds and outline a proof showing that this space is contractible.

Host: Peter Teichner

### February 13, 2004

### 3:15 PM

### AP&M 7218

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