Frontiers in Mathematics Seminar
Friday, October 11, 2019, 12:00pm, Physics 130
Jessica Fintzen
Frontiers in Mathematics Lecture 1: Representations of p-adic groups

Abstract:

The Langlands program is a far-reaching collection of conjectures that relate different areas of mathematics including number theory and representation theory. A fundamental problem on the representation theory side of the Langlands program is the construction of all (irreducible, smooth, complex) representations of certain matrix groups, called p-adic groups. In my talk I will introduce p-adic groups and provide an overview of our understanding of their representations, with an emphasis on recent progress. I will also briefly discuss applications to other areas, e.g. to automorphic forms and the global Langlands program. [video]

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