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SUMMARY:Yau Wing Li (The University of Melbourne)
DTSTART:20240919T083000Z
DTEND:20240919T093000Z
DTSTAMP:20260422T161058Z
UID:HKUST-AG/59
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/HKUST-AG/59/
 ">Endoscopy for affine Hecke category</a>\nby Yau Wing Li (The University 
 of Melbourne) as part of Algebra and Geometry Seminar @ HKUST\n\nLecture h
 eld in 5506.\n\nAbstract\nAffine Hecke categories are categorifications of
  Iwahori-Hecke algebras\, which are essential in the classification of irr
 educible representations of loop group LG with Iwahori-fixed vectors. The 
 affine Hecke category has a monodromic counterpart\, which contains sheave
 s with prescribed monodromy under the left and right actions of the maxima
 l torus. We show that the neutral block of this monoidal category is equiv
 alent to the neutral block of the affine Hecke category (with trivial toru
 s monodromy) for the endoscopic group H. It is consistent with the Langlan
 ds functoriality conjecture.\n
LOCATION:https://researchseminars.org/talk/HKUST-AG/59/
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