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

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

-
Jack Thorne, University of Cambridge
Fine Hall 214

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.