Moduli Stacks of Étale (ϕ, Γ)-Modules and the Existence of Crystalline Lifts
(AMS-215)
$590.11
- Hardcover
312 pages
- Release Date
13 December 2022
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 un…
Book Details
| ISBN-13: | 9780691241340 |
|---|---|
| ISBN-10: | 0691241341 |
| Author: | Matthew Emerton, Toby Gee |
| Publisher: | Princeton University Press |
| Imprint: | Princeton University Press |
| Format: | Hardcover |
| Number of Pages: | 312 |
| Release Date: | 13 December 2022 |
| Weight: | 599g |
| Dimensions: | 156mm x 235mm |
| Series: | Annals of Mathematics Studies |
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Critics Review
“A foundational and seminal work.”—Eran Assaf, MathSciNet
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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