53 citations · 355 across the 33 of their papers we have counts for
34 papers
Prescribed lifts of 2-dimensional representations
Matthew Emerton, Toby Gee, Lue Pan +1
Let F be a totally real field, and let p be prime. Under standard Taylor--Wiles hypotheses, we show that an irreducible, 2-dimensional, totally odd mod p representation of the abso…
-adic Tautological Systems
Lei Fu, An Huang, Bong Lian +3
Tautological systems was introduced in Lian-Yau as the system of differential equations satisfied by period integrals of hyperplane sections of some complex projective homogenous v…
Coherent sheaves on the stack of Langlands parameters
Xinwen Zhu
We formulate a few conjectures on some hypothetical coherent sheaves on the stacks of arithmetic local Langlands parameters, including their roles played in the local-global compat…
A note on Integral Satake isomorphisms
Xinwen Zhu
We formulate a Satake isomorphism for the integral spherical Hecke algebra of an unramified -adic group and generalize the formulation to give a description of the Hecke alg…
De Rham comparison and Poincaré duality for rigid varieties
Kai-Wen Lan, Ruochuan Liu, Xinwen Zhu
Over any smooth algebraic variety over a -adic local field , we construct the de Rham comparison isomorphisms for the étale cohomology with partial compact support of de Rham…
On the Beilinson-Bloch-Kato conjecture for Rankin-Selberg motives
Yifeng Liu, Yichao Tian, Liang Xiao +2
In this article, we study the Beilinson-Bloch-Kato conjecture for motives corresponding to the Rankin-Selberg product of conjugate self-dual automorphic representations, within the…