What is a Hecke algebra?

Anna Romanov (University of Sydney)

15-Apr-2021, 00:00-02:00 (3 years ago)

Abstract: If you hang around representation theory circles, you have probably heard a definition of a Hecke algebra. (For example, if you attended Anna Puskas’s WiSe talk last June.) If you hang around representation theory circles a lot, you have probably heard several definitions of a Hecke algebra. If you are like me, you may have found this confusing. In this talk, we will explore a few definitions of Hecke algebras. I will try to explain why they arise naturally in the representation theory of groups, and how the different definitions are related. We’ll also take a detour into Gelfand pairs, and explain how these fit into the story.

algebraic geometrycombinatoricsdifferential geometrynumber theoryrepresentation theory

Audience: learners


What is ...? Seminar

Series comments: The ``What is ... ? Seminar'' (WiSe) is a weekly Zoom mathematics seminar. The goal is to explain interesting things to each other in a casual manner. The name is inspired by the What is ...? column of the Notices of the American Mathematical Society. See the website for more details. If you want to receive the zoom link for the talks please fill out the form linked on the website or contact Anna at a.puskas@uq.edu.au.

Organizers: Anna Puskas*, Valentin Buciumas*
*contact for this listing

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