Moduli Stacks of Etale (?, G)-Modules and the Existence of Crystalline Lifts

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A foundational account of a new construction in the p-adic Langlands correspondence

Motivated by the p-adic Langlands program, this book 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 parameterize étale (ϕ, Γ)-modules; the formal completions of these stacks at point...

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A foundational account of a new construction in the p-adic Langlands correspondence

Motivated by the p-adic Langlands program, this book 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 parameterize étale (ϕ, Γ)-modules; the formal completions of these stacks at point...

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  • Formats: pdf
  • ISBN: 9780691241364
  • Publication Date: 13 Dec 2022
  • Publisher: Princeton University Press
  • Product language: English
  • Drm Setting: DRM