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SUMMARY:Recent progress on the formal degree conjecture - David Schwein (U
 niversity of Cambridge)
DTSTART:20211012T133000Z
DTEND:20211012T143000Z
UID:TALK162193@talks.cam.ac.uk
CONTACT:Rong Zhou
DESCRIPTION:The local Langlands correspondence is more than a bijective\nc
 orrespondence: it promises an extensive dictionary between the\nrepresenta
 tion theory of reductive p-adic groups and the arithmetic of\ntheir L-para
 meters. One entry in this dictionary is a conjectural\nformula of Hiraga\,
  Ichino\, and Ikeda for the size of a discrete series\nrepresentation -- i
 ts "formal degree" -- in terms of a gamma factor of\nits L-parameter. In t
 his talk\, I'll explain why the conjecture is true\nfor almost all supercu
 spidal representations. Time permitting\, I'll\nalso compute the sign of t
 he gamma factor\, verifying a conjecture of\nGross and Reeder.
LOCATION:MR13
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