SMS scnews item created by Joshua Ciappara at Mon 17 May 2021 1421
Type: Seminar
Distribution: World
Expiry: 31 Dec 2021
Calendar1: 18 May 2021 1100-1200
CalLoc1: Zoom webinar
Auth: ciappara@203.194.63.87 (jcia6420) in SMS-SAML

# Student Algebra Seminar: Zhao -- Representations of affine Hecke algebras via perverse sheaves

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.


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