##### Department of Mathematics,

University of California San Diego

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### Math 209 - Number Theory

## Annie Carter

#### UCSD

## Overconvergence of Multivariable $(\phi, \Gamma)$-Modules: Part 2

##### Abstract:

In this talk I will discuss some of the details of the proof that all ordinary $(\phi, \Gamma)$-modules are overconvergent and examine what additional arguments are necessary to prove this statement in the multivariable setting. Along the way we will encounter a restatement of Drinfeld's Lemma in the context of diamonds. Part 1 of this talk is being given during this week's RTG colloquium.

### May 25, 2017

### 2:00 PM

### AP&M 7321

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