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SUMMARY:Nick Rozenblyum (University of Toronto)
DTSTART:20250423T080000Z
DTEND:20250423T093000Z
DTSTAMP:20260422T161059Z
UID:HKUST-AG/74
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/HKUST-AG/74/
 ">Higher traces and characters of finite groups of Lie type</a>\nby Nick R
 ozenblyum (University of Toronto) as part of Algebra and Geometry Seminar 
 @ HKUST\n\nLecture held in Room 2128B (Lift 19).\n\nAbstract\nI will give 
 a brief overview of the theory of traces in higher categories and explain 
 how this gives a new approach to the study of representation of finite gro
 ups of Lie type. Given an algebraic group $G$ over a finite field $\\mathb
 b{F}_q$\, I will explain how representations of $G(\\mathbb{F}_q)$ arise a
 s traces of categorical representations of $G$. Moreover\, I will explain 
 the higher categorical origin of Deligne-Lusztig representations and give 
 a new conceptual computation of their characters which explains their regu
 larity as a function of $q$. This is joint work with Gaitsgory and Varshav
 sky.\n
LOCATION:https://researchseminars.org/talk/HKUST-AG/74/
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