##### Department of Mathematics,

University of California San Diego

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### Math 295 - Mathematics Colloquium

## Toby Colding

#### Courant Institute and MIT

## Embedded minimal surfaces

##### Abstract:

The study of minimal surfaces is a central problem in geometry and analysis that dates back to the 1700's when the catenoid and helicoid were discovered. I will survey recent advances, focusing on joint work with Bill Minicozzi that describes the structure of a general embedded minimal surface in terms of the catenoid and helicoid. I hope to give an overview of how these results have played a role in the solution of some old problems.

Hosts: Peter Ebenfelt and Ben Chow

### February 8, 2007

### 3:00 PM

### AP&M 6402

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