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SUMMARY:Jens Eberhardt (University of Wuppertal)
DTSTART:20230811T060000Z
DTEND:20230811T070000Z
DTSTAMP:20260422T161057Z
UID:HKUST-AG/12
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/HKUST-AG/12/
 ">Motives in Geometric Representation Theory I</a>\nby Jens Eberhardt (Uni
 versity of Wuppertal) as part of Algebra and Geometry Seminar @ HKUST\n\nL
 ecture held in CYTG003.\n\nAbstract\nRecent constructions in motivic homot
 opy theory offer exciting new applications in geometric representation the
 ory. For example\, they allow to consider mixed perverse sheaves (a graded
  version of perverse sheaves) with integral coefficients or K-motives (a K
 -theoretic analogue of constructible sheaves).\n\nIn this lecture series\,
  we will explain how to work with motives in practice. We focus on motivic
  cohomology\, the motivic six functor formalism\, Tate motives\, and weigh
 t structures. We will then explain the notion of stratified mixed Tate mot
 ives which\, when specialized to (affine/partial) flag varieties\, yields 
 a geometric perspective on Koszul duality. Lastly\, we will introduce resu
 lts and conjectures relating K-motives and the geometric Langlands program
 .\n
LOCATION:https://researchseminars.org/talk/HKUST-AG/12/
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