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SUMMARY:Jialiang Zou (University of Michigan)
DTSTART:20221101T210000Z
DTEND:20221101T220000Z
DTSTAMP:20260423T041508Z
UID:UAANTS/48
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/UAANTS/48/">
 On some Hecke algebra modules arising from theta correspondence and its de
 formation</a>\nby Jialiang Zou (University of Michigan) as part of Univers
 ity of Arizona Algebra and Number Theory Seminar\n\n\nAbstract\nThis talk 
 is based on the joint work with Jiajun Ma and Congling Qiu on theta corres
 pondence of type I dual pairs over a finite field $F_q$.  We study the Hec
 ke algebra modules arising from theta correspondence between certain Haris
 h-Chandra series for these dual pairs. We first show that the normalizatio
 n of the corresponding Hecke algebra is related to the first occurrence in
 dex\, which leads to proof of the conservation relation. We then study the
  deformation of this Hecke algebra module at $q=1$ and generalize the resu
 lts of Aubert-Michel-Rouquier and Pan on theta correspondence between unip
 otent representations along this way.\n
LOCATION:https://researchseminars.org/talk/UAANTS/48/
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