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SUMMARY:Andrei Ionov (MIT)
DTSTART:20220413T200000Z
DTEND:20220413T210000Z
DTSTAMP:20260423T052447Z
UID:MITLie/56
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MITLie/56/">
 Tilting sheaves for real groups and Koszul duality</a>\nby Andrei Ionov (M
 IT) as part of MIT Lie groups seminar\n\nLecture held in 2-142.\n\nAbstrac
 t\nFor a real form of an algebraic group acting on the flag variety we def
 ine a t-structure on the category of equivariant-monodromic sheaves and de
 velop the theory of tilting sheaves. In case of a quasi-split real form we
  construct an analog of a Soergel functor\, which full-faithfully embeds t
 he subcategory of tilting objects to the category of coherent sheaves on a
  block variety. We apply the results to give a new\, purely geometric\, pr
 oof of the Soergel's conjecture for quasi-split groups.\n
LOCATION:https://researchseminars.org/talk/MITLie/56/
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