4 papers
On a tamely ramified local relative Langlands conjecture via categorical representations
Milton Lin, Toan Pham, Jize Yu
Let be a complex reductive group. For a smooth affine spherical -variety , assume that the unramified relative local Langlands conjecture of Ben-Zvi-Sakellaridis-Venkates…
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…
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…
The integral geometric Satake equivalence in mixed characteristic
Jize Yu
Let be an algebraically closed field of characteristic . Denote by the ring of Witt vectors of . Let denote a totally ramified finite extension of …