Sheng-Chi Shih

collaborators

2 papers

math.NT2020

On Sharifi's conjecture: exceptional case

Sheng-Chi Shih, Jun Wang

In the present article, we study the conjecture of Sharifi on the surjectivity of the map $ϖ_{θ}$ . Here $θ$ is a primitive even Dirichlet character of conductor $N p$ , which is e…

math.NT2018

Shimura varieties at level $Γ_{1} (p^{\infty})$ and Galois representations

Ana Caraiani, Daniel R. Gulotta, Chi-Yun Hsu +4

We show that the compactly supported cohomology of certain $U (n, n)$ or $Sp (2 n)$ -Shimura varieties with $Γ_{1} (p^{\infty})$ -level vanishes above the middle degree. The…

On Sharifi's conjecture: exceptional case

Shimura varieties at level Γ1​(p∞) and Galois representations

Shimura varieties at level $Γ_{1} (p^{\infty})$ and Galois representations