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SUMMARY:Kazuma Ohara (MPIM Bonn)
DTSTART:20241113T160000Z
DTEND:20241113T170000Z
DTSTAMP:20260418T064107Z
UID:LNTS/143
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/LNTS/143/">R
 eduction to depth zero for tame p-adic groups via Hecke algebra isomorphis
 ms</a>\nby Kazuma Ohara (MPIM Bonn) as part of London number theory semina
 r\n\nLecture held in Huxley 140\, Imperial College.\n\nAbstract\nThe categ
 ory of smooth complex representations of $p$-adic\ngroups decomposes into 
 a product of indecomposable full subcategories\,\ncalled Bernstein blocks.
  In this talk\, I will explain the result that\nunder a mild tameness cond
 ition\, every block is equivalent to a depth-zero\nblock\, which is closel
 y related to the representation theory of finite\nreductive groups and muc
 h better understood than general blocks. This\nresult is obtained by using
  the theory of types and an isomorphism of\nHecke algebras. This is a join
 t work with Jeffrey Adler\, Jessica Fintzen\,\nand Manish Mishra.\n
LOCATION:https://researchseminars.org/talk/LNTS/143/
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