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SUMMARY:Jialiang Zou (University of Michigan)
DTSTART:20221026T200000Z
DTEND:20221026T210000Z
DTSTAMP:20260423T035534Z
UID:MITLie/63
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MITLie/63/">
 On some Hecke algebra modules arising from theta correspondence and it’s
  deformation</a>\nby Jialiang Zou (University of Michigan) as part of MIT 
 Lie groups seminar\n\nLecture held in 2-142 in the Simons building.\n\nAbs
 tract\nThis talk is based on the joint work with Jiajun Ma and Congling Qi
 u on theta correspondence of type I dual pairs over a finite field $F_q$. 
  We study the Hecke algebra modules arising from theta correspondence betw
 een certain Harish-Chandra series for these dual pairs. We first show that
  the normalization of the corresponding Hecke algebra is  related to the f
 irst occurrence index\, which leads to a  proof of the conservation relati
 on. We then study the deformation of this Hecke algebra module at q=1 and 
 generalize the results of Aubert-Michel-Rouquier and Pan on theta correspo
 ndence between unipotent representations along this way.\n
LOCATION:https://researchseminars.org/talk/MITLie/63/
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