Topics in Geometric Langlands Program
by Masoud Khamgarpour
Abstract: I start by explaining the Satake Isomorphism and its geometrization (or categorification), known as the Geometric Satake Isomorphism. I will then explain how to associate a Satake-type isomorphism to certain characters of the compact torus of a split reductive group over a local field. Finally, I will discuss the conjectural geometric analogues of these isomorphisms. (Based on joint work with Travis Schedler).