Geometry and Physics Seminar
by Gurbir Dhillon (University of California, Los Angeles)
While the highest weight representation theory of affine Lie algebras in characteristic zero is by now fairly well understood, far less has been known in characteristic p > 0. We will report on some basic results in this direction, e.g. the Harish--Chandra center of the enveloping algebra at all levels, the linkage principle, an analogue of the Kac--Kazhdan conjecture, and a local de Rham geometric Langlands correspondence. This is based on joint work with Ivan Losev.
