Moduli Stacks of Étale (ϕ, Γ)-Modules and the Existence of Crystalline Lifts : : (AMS-215) /

Moduli Stacks of Étale (ϕ, Γ)-Modules and the Existence of Crystalline Lifts : : (AMS-215) / / Matthew Emerton, Toby Gee.

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

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Bibliographic Details
Superior document:Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2022 English
VerfasserIn:
Emerton, Matthew,
Gee, Toby,
Place / Publishing House:Princeton, NJ : : Princeton University Press, , [2022]
©2023
Year of Publication:2022
Language:English
Series:Annals of Mathematics Studies ; 408
Online Access:
Physical Description:1 online resource (312 p.)
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Table of Contents:
  • Frontmatter
  • Contents
  • Chapter One Introduction
  • Chapter Two Rings and coefficients
  • Chapter Three Moduli stacks of ϕ-modules and (ϕ, Γ)-modules
  • Chapter Four Crystalline and semistable moduli stacks
  • Chapter Five Families of extensions
  • Chapter Six Crystalline lifts and the finer structure of Xd,red
  • Chapter Seven The rank 1 case
  • Chapter Eight A geometric Breuil–Mézard conjecture
  • Appendix A Formal algebraic stacks
  • Appendix B Graded modules and rigid analysis
  • Appendix C Topological groups and modules
  • Appendix D Tate modules and continuity
  • Appendix E Points, residual gerbes, and isotrivial families
  • Appendix F Breuil–Kisin–Fargues modules and potentially semistable representations (by Toby Gee and Tong Liu)
  • Bibliography
  • Index

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