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Representations of p-adic groups Lecture 2

Jessica Fintzen
Friday, October 18, 2019
12:00 pm - 1:00 pm
Jessica Fintzen (University of Cambridge)
Frontiers in Mathematics Seminar

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. Reception to follow at 4:30pm.