EVENT DETAILS AND ABSTRACT

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.