37 citations · 333 across the 52 of their papers we have counts for
4 papers · 1 filter
Potential automorphy over CM fields
Patrick B. Allen, Frank Calegari, Ana Caraiani +7
Let be a CM number field. We prove modularity lifting theorems for regular -dimensional Galois representations over without any self-duality condition. We deduce that al…
Abelian Surfaces over totally real fields are Potentially Modular
George Boxer, Frank Calegari, Toby Gee +1
We show that abelian surfaces (and consequently curves of genus 2) over totally real fields are potentially modular. As a consequence, we obtain the expected meromorphic continuati…
Arthur's multiplicity formula for GSp and restriction to Sp
Toby Gee, Olivier Taïbi
We prove the classification of discrete automorphic representations of GSp explained in [Art04], as well as a compatibility between the local Langlands correspondences for GSp$…
Globally realizable components of local deformation rings
Frank Calegari, Matthew Emerton, Toby Gee
Let n be either 2, or an odd integer greater than 1, and fix a prime p > 2(n + 1). Under standard "adequate image" assumptions, we show that the set of components of n-dimensional…