37 citations · 333 across the 52 of their papers we have counts for
6 papers · 1 filter
An introduction to the categorical p-adic Langlands program
Matthew Emerton, Toby Gee, Eugen Hellmann
We give an introduction to the "categorical" approach to the p-adic Langlands program, in both the "Banach" and "analytic" settings.
Local geometry of moduli stacks of two-dimensional Galois representations
Ana Caraiani, Matthew Emerton, Toby Gee +1
We construct moduli stacks of two-dimensional mod p representations of the absolute Galois group of a p-adic local field, as well as their resolutions by moduli stacks of two-dimen…
Components of moduli stacks of two-dimensional Galois representations
Ana Caraiani, Matthew Emerton, Toby Gee +1
In a previous article we introduced various moduli stacks of two-dimensional tamely potentially Barsotti-Tate representations of the absolute Galois group of a p-adic local field,…
The geometric Breuil-Mézard conjecture for two-dimensional potentially Barsotti-Tate Galois representations
Ana Caraiani, Matthew Emerton, Toby Gee +1
We establish a geometrisation of the Breuil-Mézard conjecture for potentially Barsotti-Tate representations, as well as of the weight part of Serre's conjecture, for moduli stacks…
Localization of smooth p-power torsion representations of GL_2(Q_p)
Andrea Dotto, Matthew Emerton, Toby Gee
We show that the category of smooth representations of GL_2(Q_p) on p-power torsion modules localizes over a certain projective scheme, and give some applications.
Modularity lifting theorems
Toby Gee
Updated version of 2013 Arizona WInter School notes on modularity lifting theorems for for two-dimensional p-adic representations, using wherever possible arguments that go over to…