##### Department of Mathematics,

University of California San Diego

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### RTG Colloquium

## Annie Carter

#### UCSD

## Overconvergence of Multivariable $(\phi, \Gamma)$-Modules: Part 1

##### Abstract:

In this talk I will introduce the notion of multivariable $(\phi, \Gamma)$-modules and explain their relationship to representations of direct products of Galois groups. I will then describe my recent work with Kiran Kedlaya aimed at proving that all such multivariable $(\phi, \Gamma)$-modules are overconvergent.

Organizer: James McKernan

### May 24, 2017

### 4:15 PM

### AP&M 2402

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