2 papers
math.NT2025
On the generic part of the cohomology of Shimura varieties of abelian type
Xiangqian Yang, Xinwen Zhu
This article contributes to the study of the generic part of the cohomology of Shimura varieties. Under a mild restriction of the characteristic of the coefficient field, we prove…
math.RT2025
Tame categorical local Langlands correspondence
Xinwen Zhu
In one of our previous articles, we outlined the formulation of a version of the categorical arithmetic local Langlands conjecture. The aims of this article are threefold. First, w…