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SUMMARY:Jize Yu (California Institute of Technology)
DTSTART:20200430T210000Z
DTEND:20200430T220000Z
DTSTAMP:20260423T022733Z
UID:UCSD_NTS/2
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/UCSD_NTS/2/"
 >The integral geometric Satake equivalence in mixed characteristic</a>\nby
  Jize Yu (California Institute of Technology) as part of UCSD number theor
 y seminar\n\nLecture held in APM 7321.\n\nAbstract\nThe geometric Satake e
 quivalence establishes a link between two monoidal categories: the categor
 y of perverse sheaves on the local Hecke stack and the category of finitel
 y generated representations of the Langlands dual group. It has many impor
 tant applications in the study of the geometric Langlands program and numb
 er theory. In this talk\, I will discuss the integral coefficient geometri
 c Satake equivalence in the mixed characteristic setting. It generalizes t
 he previous results of Lusztig\, Ginzburg\, Mirkovic-Vilonen\, and Zhu. Ti
 me permitting\, I will discuss an application of this result in constructi
 ng a Jacquet-Langlands transfer.\n\nThere will be a pretalk.\n
LOCATION:https://researchseminars.org/talk/UCSD_NTS/2/
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