##### Department of Mathematics,

University of California San Diego

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### Math 296 - Graduate Student Colloquium

## Claus Sorensen

#### UCSD

## Automorphic forms and Galois representations

##### Abstract:

The goal of the talk is to give some idea of what the all-important Langlands program is all about, and it is aimed at a general audience with no or limited experience in number theory. For $GL(2)$ we will illustrate these ideas by discussing the case of elliptic curves and modular forms, which led to a proof of Fermat's Last Theorem! We will then try to give a flavor of what's expected for $GL(n)$, and point to how the so-called p-adic Langlands program was envisaged. This ties up with the number theory topics class offered in the Spring quarter.

Organizer: Ioan Bejenaru

### March 10, 2016

### 11:00 AM

### AP&M 6402

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