##### Department of Mathematics,

University of California San Diego

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### RTG Colloquium

## James Upton

#### UCSD

## Zeros of zeta functions in characteristic p

##### Abstract:

We give an introduction to the theory of zeta functions for function fields of characteristic p > 0. I will discuss the history of these zeta functions, what is known about their special values, and the question of the distribution of their zeros. I will also present some recent work with Joe Kramer Miller which constitutes a Riemman hypothesis for the zeta functions of "ordinary" function fields.

Host: RTG Group AAGNT-UCSD

### May 1, 2023

### 5:00 PM

APM 6402

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