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SUMMARY:Jens Eberhardt (University of Wuppertal)
DTSTART:20230815T060000Z
DTEND:20230815T070000Z
DTSTAMP:20260422T161058Z
UID:HKUST-AG/14
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/HKUST-AG/14/
 ">Motives in Geometric Representation Theory III</a>\nby Jens Eberhardt (U
 niversity of Wuppertal) as part of Algebra and Geometry Seminar @ HKUST\n\
 nLecture held in Room 5510.\n\nAbstract\nRecent constructions in motivic h
 omotopy theory offer exciting new applications in geometric representation
  theory. For example\, they allow to consider mixed perverse sheaves (a gr
 aded version of perverse sheaves) with integral coefficients or K-motives 
 (a K-theoretic analogue of constructible sheaves).\n\nIn this lecture seri
 es\, we will explain how to work with motives in practice. We focus on mot
 ivic cohomology\, the motivic six functor formalism\, Tate motives\, and w
 eight structures. We will then explain the notion of stratified mixed Tate
  motives which\, when specialized to (affine/partial) flag varieties\, yie
 lds a geometric perspective on Koszul duality. Lastly\, we will introduce 
 results and conjectures relating K-motives and the geometric Langlands pro
 gram.\n
LOCATION:https://researchseminars.org/talk/HKUST-AG/14/
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