## EVENT DETAILS AND ABSTRACT

**Bellow Lecture Series**
**Title:** Automorphic representations and local systems on algebraic curves

**Speaker:** Michael Harris

**Speaker Info:** Columbia University

**Brief Description:**

**Special Note**:

**Abstract:**

Let k be a finite field of prime characteristic p, C an algebraic curve over k, and let G be a semisimple algebraic group over k. In the second lecture I will explain in more detail the relation between automorphic forms for G over C, representations of the topological group G(k'((t)), where k' runs over finite extensions of k, and vector bundles on the curve C. I will also describe the work of the Lafforgue brothers establishing much of the Langlands program in this setting, and I will describe joint work with Dan Ciubotaru that applies the Grothendieck-Deligne theory of L-functions to prove some of the predictions of the Langlands program.

**Date:** Thursday, May 16, 2024

**Time:** 04:00pm

**Where:** Lunt 105

**Contact Person:** Ben Weinkove

**Contact email:** weinkove@math.northwestern.edu

**Contact Phone:**

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