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math.NT2023
Gaitsgory's central functor and the Arkhipov-Bezrukavnikov equivalence in mixed characteristic
Johannes Anschütz, João Lourenço, Zhiyou Wu +1
We show that the nearby cycles functor for the -adic Hecke stack at parahoric level is perverse t-exact, by developing a theory of Wakimoto filtrations at Iwahori level, and tha…
math.NT2020
A Geometric Jacquet-Langlands Transfer for automorphic forms of higher weights
Jize Yu
In this paper, we give a geometric construction of the Jacquet-Langlands transfer for automorphic forms of higher weights by studying the geometry of the mod fibres of differen…