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SUMMARY:David Vogan (MIT)
DTSTART:20221020T143000Z
DTEND:20221020T160000Z
DTSTAMP:20260422T150117Z
UID:atlas/42
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/atlas/42/">D
 uality for G reps\, nilpotent orbits\, and W reps III</a>\nby David Vogan 
 (MIT) as part of Real reductive groups/atlas\n\n\nAbstract\nLast week I ta
 lked in some detail about duality in the case of nonintegral infinitesimal
  character. This involved a pseudoLevi subgroup D^\\vee of G^vee (centrali
 zer of exponential of infinitesimal character)\, and a corresponding endos
 copic group D sharing the Cartan H of G\; roots of D are the gamma-integra
 l roots. \n\nDUALITY relates reps of G of infl char gamma and reps of D^\\
 vee. Therefore there is an EQUIVALENCE between reps of G of infl char gamm
 a and reps of D of (D-integral) infl char gamma). Today I'll talk about ho
 w (complex) nilpotent orbits and W rep move in this equivalence. I will tr
 y to describe a great research topic: to understand how REAL nilpotent orb
 its move between D and G.\n
LOCATION:https://researchseminars.org/talk/atlas/42/
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