Can I read Gaitsgory's central functor and the Arkhipov-Bezrukavnikov equivalence in mixed characteristic on EtoBox?

Gaitsgory's central functor and the Arkhipov-Bezrukavnikov equivalence in mixed characteristic by Anschütz, Johannes; Lourenço, João; Wu, Zhiyou; Yu, Jize is a scholarly article available to read on EtoBox.

What is Gaitsgory's central functor and the Arkhipov-Bezrukavnikov equivalence in mixed characteristic about?

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 that it lifts to the $\mathbb{E}_1$-center. We apply these tools to construct the Arkhipov-Bezrukavnikov functor for $p$-adic affine flag varieties at Iwahori level, and prove that it is an equivalence for all classical groups and also exceptional groups of type $E_6$ and $E_7$.

Author

Anschütz, Johannes; Lourenço, João; Wu, Zhiyou; Yu, Jize

Published

2023

Language

EN