25 citations · 109 across the 14 of their papers we have counts for
16 papers · 1 filter
Bloch--Kato conjectures for automorphic motives
Frank Calegari, David Geraghty, Michael Harris
We prove a special case of the Bloch-Kato conjecture for adjoint motives associated to modular abelian surfaces.
Minimal modularity lifting for non-regular symplectic representations
Frank Calegari, David Geraghty
In this paper, we prove a minimal modularity lifting theorem for Galois representations (conjecturally) associated to Siegel modular forms of genus two which are holomorphic limits…
Patching and the p-adic Langlands program for GL(2, Q_p)
Ana Caraiani, Matthew Emerton, Toby Gee +3
We present a new construction of the p-adic local Langlands correspondence for GL(2, Q_p) via the patching method of Taylor--Wiles and Kisin. This construction sheds light on the r…
Serre Weights for U(n)
Thomas Barnet-Lamb, Toby Gee, David Geraghty
We study the weight part of (a generalisation of) Serre's conjecture for mod l Galois representations associated to automorphic representations on unitary groups of rank n for odd…
Patching and the p-adic local Langlands correspondence
Ana Caraiani, Matthew Emerton, Toby Gee +3
We use the patching method of Taylor--Wiles and Kisin to construct a candidate for the p-adic local Langlands correspondence for GL_n(F), F a finite extension of Q_p. We use our co…
The Breuil--Mezard conjecture for quaternion algebras
Toby Gee, David Geraghty
We formulate a version of the Breuil--Mezard conjecture for quaternion algebras, and show that it follows from the Breuil--Mezard conjecture for GL_2. In the course of the proof we…