##### Department of Mathematics,

University of California San Diego

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### Math 295 - Mathematics Colloquium

## Xinwen Zhu

#### Harvard University

## Adelic uniformization of moduli of G-bundles

##### Abstract:

It is well-known from Weil that the isomorphism classes of rank n vector bundles on an algebraic curve can be written as the set of certain double cosets of GL(n,A), where A is the adeles of the curve. I will introduce such presentation in the realm of algebraic geometry and discuss two of its applications: the first is the Tamagawa number formula (proved by Gaitsgory-Lurie), and the second is the Verlinde formula in positive characteristic

Host: Cristian Popescu

### December 1, 2011

### 10:00 AM

### AP&M 6402

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