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SUMMARY:Tasho Kaletha
DTSTART:20200531T180000Z
DTEND:20200531T190000Z
DTSTAMP:20260421T084741Z
UID:CARTOON/10
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CARTOON/10/"
 >A twisted Yu construction and Harish-Chandra characters</a>\nby Tasho Kal
 etha as part of Cross Atlantic Representation Theory and Other topics ONli
 ne (CARTOON) conference\n\n\nAbstract\nIn 2001 J.K.Yu gave a general const
 ruction of supercuspidal representations of reductive $p$-adic groups. It 
 was shown by Kim and Fintzen that all supercuspidal representations arise 
 from it when $p$ is not too small. I will discuss a twist of this construc
 tion\, which resolves a recently discovered error in Yu's paper. I will th
 en discuss the following applications that this twisted construction makes
  possible: (i) a formula for the Harish-Chandra character of the resulting
  representations without compactness or shallowness assumptions\, (ii) a c
 onstruction of the local Langlands correspondence for arbitrary supercuspi
 dal parameters when $p$ is not too small\, (iii) the proof of endoscopic t
 ransfer for regular supercuspidal L-packets. This is joint work\, partly i
 n progress\, with Fintzen and Spice.\n
LOCATION:https://researchseminars.org/talk/CARTOON/10/
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