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SUMMARY:Tamanna Chatterjee (LSU)
DTSTART:20201017T183000Z
DTEND:20201017T190000Z
DTSTAMP:20260418T111726Z
UID:MRTC2020/10
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MRTC2020/10/
 ">Study of parity sheaves arising from graded Lie algebras</a>\nby Tamanna
  Chatterjee (LSU) as part of The 2020 Paul J. Sally\, Jr. Midwest Represen
 tation Theory Conference\n\n\nAbstract\nLet $G$ be a complex\, connected\,
  reductive\, algebraic group\, and $\\chi:\\mathbb{C}^\\times \\to G$ be a
  fixed cocharacter that defines a grading on $\\mathfrak{g}$\, the Lie alg
 ebra of $G$. Let $G_0$ be the centralizer of $\\chi(\\mathbb{C}^\\times)$.
  In this paper\, we study $G_0$-equivariant parity sheaves on $\\mathfrak{
 g}_n$\, under some assumptions on the field $\\Bbbk$ and the group $G$. Th
 e assumption on $G$ holds for $GL_n$ and for any $G$\, it recovers results
  of Lusztig in characteristic $0$. The main result is that every parity sh
 eaf occurs as a direct summand of the parabolic induction of some cuspidal
  pair.\n
LOCATION:https://researchseminars.org/talk/MRTC2020/10/
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