##### Department of Mathematics,

University of California San Diego

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### Math 209 - Number Theory

## Maxim Mornev

#### ETHZ

## Local monodromy of Drinfeld modules

##### Abstract:

The theory of Drinfeld modules is remarkably similar to the theory of abelian varieties, but their local monodromy behaves differently and is poorly understood. In this talk I will present a research program which aims to fully describe this monodromy. The cornerstone of this program is a ``z-adic'' variant of Grothendieck's l-adic monodromy theorem. \\ \\ The talk is aimed at a general audience of number theorists and arithmetic geometers. No special knowledge of monodromy theory or Drinfeld modules is assumed.

### December 3, 2020

### 9:00 AM

### See https://www.math.ucsd.edu/\~{}nts/

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