Matthew Emerton

A foundational account of a new construction in the p-adic Langlands correspondence Motivated by the p-adic Langlands program, Moduli Stacks of Étale (ϕ, Γ)-Modules and the Existence of Crystalline Lifts constructs stacks that algebraize Mazur's formal deformation rings of local Galois representations. More precisely, it constructs Noetherian formal algebraic stacks over Spf Zp that parameterise étale (ϕ, Γ)-modules. The formal...