Number Theory Seminar

Convolution morphisms and Kottwitz conjecture

Naoki Imai, Graduate School of Mathematical Sciences, University of Tokyo,

The Kottwitz conjecture says that etale cohomology of local Shimura varieties realize the local Langlands correspondence. In this talk, we discuss a proof of this conjecture for all inner forms of GL(3).
Key ingredients are convolution morphisms on moduli spaces of mixed characteristic local shtukas and the mixed characteristic geometric Satake equivalence.

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