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SUMMARY:Pierre Clare (William & Mary)
DTSTART:20201007T190000Z
DTEND:20201007T200000Z
DTSTAMP:20260420T052910Z
UID:NYC-NCG/20
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NYC-NCG/20/"
 >Essential representations of real reductive groups</a>\nby Pierre Clare (
 William & Mary) as part of Noncommutative geometry in NYC\n\n\nAbstract\nT
 he tempered dual of a real reductive group G equipped with the Fell\ntopol
 ogy identifies with the space of irreducible representations of the\nreduc
 ed C*-algebra of G. The Connes-Kasparov isomorphism allows to\ncompute the
  K-theory of this C*-algebra by using the index theory of\nDirac-type oper
 ators on the symmetric space G/K. The goal of the work\npresented here (jo
 int with N. Higson\, Y. Song and X. Tang) is to provide\na representation-
 theoretic approach to this isomorphism. We will\ndescribe the structure of
  the reduced C*-algebra up to Morita\nequivalence and characterize represe
 ntations that contribute to the\nK-theory in terms of Dirac cohomology.\n
LOCATION:https://researchseminars.org/talk/NYC-NCG/20/
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