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SUMMARY:David Vogan (MIT)
DTSTART:20220811T143000Z
DTEND:20220811T160000Z
DTSTAMP:20260422T145928Z
UID:atlas/32
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/atlas/32/">D
 uality for singular integral infinitesimal character</a>\nby David Vogan (
 MIT) as part of Real reductive groups/atlas\n\n\nAbstract\nLast week I rep
 eated Jeff's description of duality as a bijection.\n\n(reps with regular 
 integral infl char of real forms of G) <--->\n     (reps with regular inte
 gral infl char of real forms of G^\\vee)\n\nToday I will start by explaini
 ng how this changes for singular integral infl char:\n\n(reps of forms of 
 G\, integral infl char singular on simple roots S) <--->\n       (reps of 
 forms of G^\\vee\, integral infl char\, simple roots S^\\vee in tau invari
 ant)\n\nCondition on the G^vee side is that the reps must be somewhat SMAL
 L. A special case is what Jeff discussed already\n\n(forms of G reps\, inf
 l char zero) <----> (fin-diml reps for forms of G^\\vee)\n
LOCATION:https://researchseminars.org/talk/atlas/32/
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