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SUMMARY:Dan Ciubotaru (University of Oxford)
DTSTART:20220921T200000Z
DTEND:20220921T210000Z
DTSTAMP:20260423T021116Z
UID:MITLie/58
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MITLie/58/">
 Wavefront sets and unipotent representations of p-adic groups</a>\nby Dan 
 Ciubotaru (University of Oxford) as part of MIT Lie groups seminar\n\nLect
 ure held in 2-142.\n\nAbstract\nAn important invariant for admissible repr
 esentations of reductive p-adic groups is the wavefront set\, the collecti
 on of the maximal nilpotent orbits in the support of the orbital integrals
  that occur in the Harish-Chandra-Howe local character expansion. We compu
 te the geometric and Okada's canonical unramified wavefront sets for repre
 sentations in Lusztig's category of unipotent reduction for a split group 
 in terms of the Kazhdan-Lusztig parameters. We use this calculation to giv
 e a new characterisation of the anti-tempered unipotent Arthur packets. An
 other interesting consequence is that the geometric wavefront set of a uni
 potent supercuspidal representation uniquely determines the nilpotent part
  of the Langlands parameter\; this is an extension to p-adic groups of Lus
 ztig's result for unipotent representations of finite groups of Lie type. 
 The talk is based on joint work with Lucas Mason-Brown and Emile Okada.\n
LOCATION:https://researchseminars.org/talk/MITLie/58/
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