Bowen Lectures: Lecture 2 : Attaching Galois representations to automorphic forms, and vice versa - recent progress

Lecture | February 23 | 4:10-5 p.m. | 60 Evans Hall

 Michael Harris, Columbia University

 Department of Mathematics

Most of the Galois representations whose properties can be studied are obtained by analyzing the cohomology of Shimura varieties, and of the moduli spaces (stacks) of shtukas, which are families of vector bundles over curves over finite fields with extra structure. This lecture reports on recent work on these automorphic Galois representations, with an emphasis on the contributions of Scholze and V. Lafforgue.