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Gaitsgory's central functor and the Arkhipov-Bezrukavnikov equivalence for p-adic groups

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Speaker: 
Jize Yu
Zugehörigkeit: 
MPIM
Datum: 
Don, 28/09/2023 - 15:00 - 16:00
Location: 
MPIM Lecture Hall
Parent event: 
MPI-Oberseminar

In 2002, Arkhipov and Bezrukavnikov established an equivalence between the Iwahori-equivariant derived category of constructible \ell-adic sheaves and the Langlands dual group equivariant derived category of coherent sheaves on the Langlands dual Springer resolution for a connected reductive group over. In this talk, we discuss this equivalence for p-adic groups by constructing a mixed-characteristic Gaitsgory's central functor. This is a joint work with J. Anschütz, J. Lourenco, and Z. Wu.

 

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