Michael Harris, Department of Mathematics, Columbia University
Abstract: The talk will be an introduction to the Langlands program and to some of the preoccupations of contemporary algebraic number theory.I will concentrate on the recent breakthrough of Vincent Lafforgue in defining a Langlands correspondence for reductive groups over the function fields of curves over finite fields, and on my work with Böckle, Khare, and Thorne,which provides a partial converse to Lafforgue's results. I'll also discuss the categorical perspective that is being developed by Gaitsgory and his collaborators, and a possible analogue over number fields.
Meeting ID: 991 7926 6453
Passcode: 396836