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SUMMARY:Kari Vilonen (Melbourne)
DTSTART:20220209T210000Z
DTEND:20220209T220000Z
DTSTAMP:20260423T035534Z
UID:MITLie/46
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MITLie/46/">
 Mixed Hodge modules and representation theory of real groups</a>\nby Kari 
 Vilonen (Melbourne) as part of MIT Lie groups seminar\n\nLecture held in 2
 -142.\n\nAbstract\n\\noindent I will explain how mixed Hodge modules can b
 e utilized to understand representation theory of real groups. In particul
 ar\, we obtain a refinement of the Lusztig-Vogan polynomials in this setti
 ng. Adams\, van Leeuwen\, Trapa\, and Vogan (ALTV) have given an algorithm
  to determine the unitary dual of a real reductive group. As a corollary o
 f our results we obtain a proof of a key result of (ALTV) on signature pol
 ynomials. \\\\\n\\vspace{2ex}\n\\noindent This is joint work with Dougal D
 avis.\n
LOCATION:https://researchseminars.org/talk/MITLie/46/
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