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math.NT2019★ 8 cited
Moduli stacks of étale (phi,Gamma)-modules and the existence of crystalline lifts
Matthew Emerton, Toby Gee
We construct stacks which algebraize Mazur's formal deformation rings of local Galois representations. More precisely, we construct Noetherian formal algebraic stacks over Spf Zp w…
math.NT2019★ 5 cited
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, and relate their geometry to the weight part of Serre's co…