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Constructing stacks for p-adic Langlands and proving existence of crystalline lifts.
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Moduli Stacks of Étale (ϕ, Γ)-Modules and the Existence of Crystalline Lifts

(AMS-215)

RRP$135.00

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  • Paperback

    312 pages

  • Release Date

    28 February 2023

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Summary

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 points in their special fibres recover the universal de…

Book Details

ISBN-13:9780691241357
ISBN-10:069124135X
Author:Matthew Emerton, Toby Gee
Publisher:Princeton University Press
Imprint:Princeton University Press
Format:Paperback
Number of Pages:312
Release Date:28 February 2023
Weight:454g
Dimensions:156mm x 235mm
Series:Annals of Mathematics Studies
A-Format
B-Format
C-Format
Moduli Stacks of Étale (ϕ, Γ)-Modules and the Existence of Crystalline Lifts by Matthew Emerton - ISBN: 9780691241357
156 × 235 mm
A4
mm / in
What They're Saying

Critics Review

“A foundational and seminal work.”—Eran Assaf, MathSciNet

About The Author

Matthew Emerton

Matthew Emerton is professor of mathematics at the University of Chicago.

Toby Gee is professor of mathematics at Imperial College London.

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