Type: Seminar

Distribution: World

Expiry: 31 Dec 2021

Auth: ciappara@203.194.63.87 (jcia6420) in SMS-SAML

Michael Zhao will give the Seminar’s ninth talk for Semester 1 tomorrow morning on Zoom. Please find the details below. Anyone who would like to attend the talk or join the mailing list is warmly invited to e-mail ciappara@maths.usyd.edu.au. Abstract: In this talk we will see an example application of the theory of perverse sheaves to the representation theory of the affine Hecke algebra. Necessarily the talk will be heavily biased towards the representation theoretic side - we will cover the finite Hecke algebra and its affine version, then some basic Springer theory, before discussing the classification theorem of irreducible representations of the affine Hecke algebra. Perverse sheaves will only show up towards the end, discussing this classification theorem - the first section of the talk will instead focus on the ’larger picture’ of representation theory: p-adic groups, affine Hecke algebras, and the so-called ’Langlands duality’ in this special case. Time and date: 11 am Tuesday 18 May.