37 citations · 333 across the 52 of their papers we have counts for
7 papers · 1 filter
A geometric perspective on the Breuil-Mézard conjecture
Matthew Emerton, Toby Gee
Let p > 2 be prime. We state and prove (under mild hypotheses on the residual representation) a geometric refinement of the Breuil-Mézard conjecture for 2-dimensional mod p represe…
Serre weights for rank two unitary groups
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 rank two unitary groups for odd p…
Crystalline extensions and the weight part of Serre's conjecture
Toby Gee, Tong Liu, David Savitt
Let p>2 be prime. We complete the proof of the weight part of Serre's conjecture for rank two unitary groups for mod p representations in the totally ramified case, by proving that…
Weight cycling and Serre-type conjectures for unitary groups
Matthew Emerton, Toby Gee, Florian Herzig
We prove that for forms of U(3) which are compact at infinity and split at places dividing a prime p, in generic situations the Serre weights of a mod p modular Galois representati…
Local-global compatibility for l=p, II
Thomas Barnet-Lamb, Toby Gee, David Geraghty +1
We prove the compatibility at places dividing l of the local and global Langlands correspondences for the l-adic Galois representations associated to regular algebraic essentially…
Local-global compatibility for l=p, I
Thomas Barnet-Lamb, Toby Gee, David Geraghty +1
We prove the compatibility of the local and global Langlands correspondences at places dividing l for the l-adic Galois representations associated to regular algebraic conjugate se…