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SUMMARY:Kostiantyn Tolmachov (The University of Edinburgh)
DTSTART:20231011T070000Z
DTEND:20231011T083000Z
DTSTAMP:20260422T155740Z
UID:HKUST-AG/24
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/HKUST-AG/24/
 ">Equivariant derived category of a reductive group as a categorical cente
 r</a>\nby Kostiantyn Tolmachov (The University of Edinburgh) as part of Al
 gebra and Geometry Seminar @ HKUST\n\nLecture held in Room 5566.\n\nAbstra
 ct\nThere is a classical relationship between representations of the Iwaho
 ri-Hecke algebra associated with a Weyl group of a split reductive group G
 \, defined over a finite field\, and the (principal series) representation
 s of the corresponding finite group of Lie type. I will discuss a categori
 fication of this relationship in the context of various triangulated categ
 ories of constructible sheaves on the group G. In particular\, I will pres
 ent a new approach to connecting the categories of character sheaves to a 
 version of a categorical\ncenter of the constructible Hecke category. Base
 d on a joint work with R. Bezrukavnikov\, A. Ionov\, and Y. Varshavsky.\n
LOCATION:https://researchseminars.org/talk/HKUST-AG/24/
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