53 citations · 225 across the 38 of their papers we have counts for
Showing 2012Show all
3 papers · 1 filter
math.NT2012★ 30 cited
A torsion Jacquet--Langlands correspondence
Frank Calegari, Akshay Venkatesh
We study torsion in the homology of arithmetic groups and give evidence that it plays a role in the Langlands program. We prove, among other results, a numerical form of a Jacquet-…
math.NT2012★ 4 cited
Modularity Lifting Theorems beyond the Taylor-Wiles Method. II
Frank Calegari, David Geraghty
In a previous paper [CG], we showed how one could generalize Taylor-Wiles modularity lifting theorems [Wil95, TW95] to contexts beyond those in which the automorphic forms in quest…
math.NT2012
Modularity Lifting beyond the Taylor-Wiles Method
Frank Calegari, David Geraghty
We prove new modularity lifting theorems for p-adic Galois representations in situations where the methods of Wiles and Taylor--Wiles do not apply. Previous generalizations of thes…