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SUMMARY:Jiajun Ma (Xiamen University)
DTSTART:20230904T070000Z
DTEND:20230904T080000Z
DTSTAMP:20260423T005845Z
UID:PekiNT/11
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/PekiNT/11/">
 Applications of Hecke Algebra in the Representation of Reductive Groups</a
 >\nby Jiajun Ma (Xiamen University) as part of PKU/BICMR Number Theory Sem
 inar\n\nLecture held in Room 77201\, BICMR.\n\nAbstract\nConsider a reduct
 ive linear algebraic group G. Let  H be the generic Hecke algebra attached
  to the Weyl group of G. The representations of G and H have many deep con
 nections. In this talk\, I will discuss our two recent works where Hecke a
 lgebras play a crucial role: \n  1. Counting special unipotent representat
 ions of real reductive groups\n  2. Determining the theta correspondence o
 ver finite fields.\nI will also discuss the analog picture in the theta co
 rrespondence over p-adic fields when time permits.\n\nHybrid talk\n\nZoom 
 livestream: ID 743 736 2326 / Password 013049\n
LOCATION:https://researchseminars.org/talk/PekiNT/11/
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