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.NT2025
On Ihara's lemma for definite unitary groups
Xiangqian Yang
Clozel, Harris, and Taylor proposed a conjectural generalized Ihara's lemma for definite unitary groups. In this paper, we prove their conjecture with banal coefficients under some…