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SUMMARY:Shu-Yen Pan (National Tsinghua University (Taiwan))
DTSTART:20210505T203000Z
DTEND:20210505T213000Z
DTSTAMP:20260423T035408Z
UID:MITLie/30
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MITLie/30/">
 Finite Howe correspondence and Lusztig classification</a>\nby Shu-Yen Pan 
 (National Tsinghua University (Taiwan)) as part of MIT Lie groups seminar\
 n\nLecture held in 2-142.\n\nAbstract\nLet $(G\,G')$ be a reductive dual p
 air inside a finite symplectic group. By restricting the Weil representati
 on to the dual pair\, there exists a relation (called the finite Howe corr
 espondence) between the irreducible representations of the two groups $G\,
 G'$. In this talk\, we would like to discuss some progress on the understa
 nding of the correspondence by using Lusztig's classification on the repre
 sentations of finite classical groups.\n\nIn particular\, we will focus on
  the following three subjects:\n1. the decomposition of the uniform projec
 tion of the Weil character\n2. the commutativity between the Howe correspo
 ndence and the Lusztig correspondence\n3. the description of the Howe corr
 espondence on unipotent characters in terms of the symbols by Lusztig.\n
LOCATION:https://researchseminars.org/talk/MITLie/30/
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