A. Caraiani

activity

20102026

most citedLocal-global compatibility and the action of monodromy on nearby cycles

125 citations · 250 across the 18 of their papers we have counts for

collaborators

Showing 2018Show all

2 papers · 1 filter

math.NT2018★ 8 cited

Potential automorphy over CM fields

Patrick B. Allen, Frank Calegari, Ana Caraiani +7

Let $F$ be a CM number field. We prove modularity lifting theorems for regular $n$ -dimensional Galois representations over $F$ without any self-duality condition. We deduce that al…

math.NT2018★ 4 cited

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…

Potential automorphy over CM fields

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

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