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Unipotent representations in the local Langlands correspondence

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If you have a question about this talk, please contact Gareth Tracey.

The local Langlands correspondence (LLC) is a kaleidoscope of conjectures relating local Galois theory, complex Lie theory, and representations of p-adic groups. This talk will give an introduction to the part of the LLC involving unipotent representations. Reducing modulo p, we can move from representations of p-adic groups to representations of finite reductive groups, which have a rich structure developed by Deligne—Lusztig. I will talk about joint work with Anne-Marie Aubert and Dan Ciubotaru in which we lift some of this structure to p-adic groups. I will not assume previous familiarity with these topics; instead I’ll give an introduction to these ideas via examples.

This talk is part of the Algebra seminar series.

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