## EVENT DETAILS AND ABSTRACT

**Geometry/Physics Seminar**
**Title:** Adelic unformization of moduli of G-bundles

**Speaker:** Xinwen Zhu

**Speaker Info:** Harvard University

**Brief Description:**

**Special Note**:

**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 world of algebraic geometry and discuss two of its applications: the first is the Tamagawa number formula in the function field case (proved by Gaitsgory-Lurie), which is a formula for the volume of the automorphic space; and the second is the Verlinde formula in positive characteristic, which is a formula for the dimensions of global sections of certain line bundles on the moduli spaces.

**Date:** Thursday, January 26, 2012

**Time:** 3:00pm

**Where:** Lunt 105

**Contact Person:** Ezra Getzler

**Contact email:** getzler@northwestern.edu

**Contact Phone:**

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