##### Department of Mathematics,

University of California San Diego

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### Special Colloquium

## Ludmil Katzarkov

#### UC Irvine

## Uniformization theorem for smooth projective varieties

##### Abstract:

Building on the work of Gromov and Schoen, Kollar and Simpson we will show that the universal covering of a smooth projective varieties with a linear fundamental groups is holomorphically convex. At the end we will connect this result with some conjectures of Zelmanov's on Burnside type of groups.

Host: Mark Gross

### November 12, 2004

### 2:00 PM

### AP&M 6438

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