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SUMMARY:David Vogan (MIT)
DTSTART:20220623T143000Z
DTEND:20220623T160000Z
DTSTAMP:20260422T150616Z
UID:atlas/25
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/atlas/25/">D
 irac operator in atlas</a>\nby David Vogan (MIT) as part of Real reductive
  groups/atlas\n\n\nAbstract\nThe Dirac operator was introduced by Parthasa
 rathy and others in the 1970s as a tool for studying unitary representatio
 ns. One of its most powerful aspects is Parthasarathy's Dirac inequality\,
  which provides an upper bound on the infinitesimal character of a unitary
  representation containing a particular K-type. I'll explain how to comput
 e this by hand\, then introduce an atlas script which does the job. A unit
 ary representation is said to _have Dirac cohomology_ if equality holds in
  the Dirac inequality\; such representations have been studied extensively
  by Barbasch\, Ding\, Dong\, Huang\, Mehdi\, Pandzic\, Wong\, Zierau... an
 d I apologize to those omitted. I will show how atlas computes Dirac cohom
 ology.\n
LOCATION:https://researchseminars.org/talk/atlas/25/
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