##### Department of Mathematics,

University of California San Diego

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### Special Recruitment Colloquium

## Tom Graber

#### UC Berkeley

## Generalizations of Tsen's theorem

##### Abstract:

Tsen's theorem says roughly that polynomials of low degree in many variables over the field of meromorphic functions on a compact Riemann surface always have solutions. I will discuss work with Harris, Starr, and Mazur which suggests that this theorem is best understood in connection with the geometry of rational curves.

Host: Mark Gross

### January 6, 2005

### 2:00 PM

### AP&M 6438

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