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SUMMARY:On Hecke algebras for $p$-adic groups [MPIM]
DTSTART:20250530T120500Z
DTEND:20250530T140000Z
DTSTAMP:20260415T095000Z
UID:indico-event-456@math-events.uni-bonn.de
DESCRIPTION:Speakers: Kazuma Ohara (Universität Bonn)\n\nOberseminar Arit
 hmetic Geometry and Representation Theory\nIn this talk\, I will present t
 wo results concerning the Hecke algebras for $p$-adic groups. First\, I wi
 ll discuss a result that\, under mild tameness assumptions\, every Bernste
 in block of a $p$-adic group $G$ is equivalent to a depth-zero Bernstein b
 lock of a twisted Levi subgroup of $G$. Moreover\, these blocks are also e
 quivalent to the category of modules over an extension of an affine Hecke 
 algebra by a twisted group algebra. This result is the main result of my j
 oint work with Jeffrey D. Adler\, Jessica Fintzen\, and Manish Mishra.\nNe
 xt\, I will explain a result that the affine Hecke algebra mentioned above
  is isomorphic to a unipotent Hecke algebra\, whose $q$-parameters are exp
 licitly computed by Lusztig.\n \n\nhttps://math-events.uni-bonn.de/event/
 456/
LOCATION:MPIM\, Vivatsgasse\,  7 - Lecture Hall (Max Planck Institute for 
 Mathematics)
URL:https://math-events.uni-bonn.de/event/456/
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