Seminar

Over a field of characteristic zero, a celebrated theorem of Feigin-Frenkel from the early 90s calculates the center of the enveloping algebra of an affine Lie algebra in terms of the geometry of the Langlands dual Lie algebra. After recalling this result, and the role it plays in representation theory and the geometric Langlands program, we will describe the solution to the analogous problem in positive characteristic, and particularly the interesting new phenomena which occur. This is based on joint work with Ivan Loseu.