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SUMMARY:Karol Koziol (University of Michigan)
DTSTART:20201028T190000Z
DTEND:20201028T200000Z
DTSTAMP:20260422T205533Z
UID:HarvardNT/8
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/HarvardNT/8/
 ">Supersingular representations of $p$-adic reductive groups</a>\nby Karol
  Koziol (University of Michigan) as part of Harvard number theory seminar\
 n\n\nAbstract\nThe local Langlands conjectures predict that (packets of) i
 rreducible complex representations of $p$-adic reductive groups (such as $
 \\mathrm{GL}_n(\\mathbb{Q}_p)$\, $\\mathrm{GSp}_{2n}(\\mathbb{Q}_p)$\, etc
 .) should be parametrized by certain representations of the Weil-Deligne g
 roup.  A special role in this hypothetical correspondence is held by the 
 supercuspidal representations\, which generically are expected to correspo
 nd to irreducible objects on the Galois side\, and which serve as building
  blocks for all irreducible representations.  Motivated by recent advance
 s in the mod-$p$ local Langlands program (i.e.\, with mod-$p$ coefficients
  instead of complex coefficients)\, I will give an overview of what is kno
 wn about supersingular representations of $p$-adic reductive groups\, whic
 h are the "mod-$p$ coefficients" analogs of supercuspidal representations.
   This is joint work with Florian Herzig and Marie-France Vigneras.\n
LOCATION:https://researchseminars.org/talk/HarvardNT/8/
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