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SUMMARY:Maarten Solleveld (Radboud Universiteit)
DTSTART:20201014T203000Z
DTEND:20201014T213000Z
DTSTAMP:20260423T052332Z
UID:MITLie/12
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MITLie/12/">
 Bernstein components for p-adic groups</a>\nby Maarten Solleveld (Radboud 
 Universiteit) as part of MIT Lie groups seminar\n\nLecture held in 2-142.\
 n\nAbstract\nSuppose that one has a supercuspidal representation of a Levi
  subgroup of some reductive $p$-adic group $G$. Bernstein associated to th
 is a block Rep$(G)^s$ in the category of smooth $G$-representations. We ad
 dress the question: what does Rep$(G)^s$ look like?\n\nUsually this is inv
 estigated with Bushnell--Kutzko types\, but these are not always available
 . Instead\, we approach it via the endomorphism algebra of a progenerator 
 of Rep$(G)^s$. We will show that Rep$(G)^s$ is "almost" equivalent with th
 e module category of an affine Hecke algebra -- a statement that will be m
 ade precise in several ways.\n\nIn the end\, this leads to a classificatio
 n of the irreducible representations in Rep$(G)^s$ in terms of the complex
  torus and the finite groups that are canonically associated to this Berns
 tein component.\n
LOCATION:https://researchseminars.org/talk/MITLie/12/
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