Potential automorphy of $\hat{G}$-local systems

Joint IAS/Princeton University Number Theory Seminar
Topic:Potential automorphy of $\hat{G}$-local systems
Speaker:Jack Thorne
Affiliation:University of Cambridge
Date:Thursday, April 7
Time/Room:4:30pm - 5:30pm/Fine 214, Princeton University

Let $G$ be a reductive group over a global function field. V. Lafforgue has recently constructed the 'automorphic-to-Galois' direction of the global Langlands correspondence for $G$. I will discuss a potential converse to this result. This is joint work with G. Boeckle, M. Harris, and C. Khare.