M 390C Geometric Langlands (54475)
TTH 9:30 – 11am
Course Description: The course will provide a survey centered around the theme Geometric Representation Theory and Topological Field Theory. Starting from the encoding of basic structures in representation theory of finite groups via the topology of curves and surfaces, we'll work our way through the increasingly rich settings of three- and four-dimensional topological field theory as a unifying framework for increasingly subtle structures in representation theory. The end-goal is to gain a broad understanding of the Geometric Langlands Correspondence and its relation to the Fourier transform and electric-magnetic duality.