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SUMMARY:David Schwein (Univ. of Cambridge)
DTSTART:20210831T210000Z
DTEND:20210831T220000Z
DTSTAMP:20260423T040710Z
UID:UAANTS/21
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/UAANTS/21/">
 Recent progress on the formal degree conjecture</a>\nby David Schwein (Uni
 v. of Cambridge) as part of University of Arizona Algebra and Number Theor
 y Seminar\n\n\nAbstract\nThe local Langlands correspondence is more than a
 \ncorrespondence: it promises an extensive dictionary between the\nreprese
 ntation theory of reductive p-adic groups and the arithmetic of\ntheir L-p
 arameters. One entry in this dictionary is a conjectural\nformula of Hirag
 a\, Ichino\, and Ikeda for the size of a discrete series\nrepresentation 
 – its “formal degree” – in terms of a gamma factor of\nits L-param
 eter. In the first part of the talk\, I’ll explain why the\nconjecture i
 s true for almost all supercuspidal representations. In\nthe second part\,
  I’ll compute the sign of the gamma factor\, verifying\na conjecture of 
 Gross and Reeder.\n
LOCATION:https://researchseminars.org/talk/UAANTS/21/
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