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 $p$-adic Hecke stack at parahoric level is perverse t-exact, by developing a theory of Wakimoto filtrations at Iwahori level, and tha…