##### Department of Mathematics,

University of California San Diego

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### Food For Thought Seminar

## Katie Walsh

#### UCSD

## Millennium Problem Series: Poincare Conjecture

##### Abstract:

If an n-manifold has the same homotopy type as the n-sphere, is it homeomorphic to the n-sphere? The Poincare Conjecture and its generalizations tell us yes! Come learn about a Millennium Problem that has been solved. We will discuss what the conjecture is actually saying, its rich history, and the idea behind Perelman's proof.

### February 11, 2010

### 10:00 AM

### AP&M 7321

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