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Moduli Stacks of Étale (ϕ, Γ)-Modules and the Existence of Crystalline Lifts
Taschenbuch von Matthew Emerton (u. a.)
Sprache: Englisch

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Beschreibung
"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 âetale ([phi], [Gamma])-modules; the formal completions of these stacks at points in their special fibres recover the universal deformation rings of local Galois representations. Matthew Emerton and Toby Gee use these stacks to show that all mod p representations of the absolute Galois group of a p-adic local field lift to characteristic zero, and indeed admit crystalline lifts. They explicitly describe the irreducible components of the underlying reduced substacks and discuss the relationship between the geometry of these stacks and the Breuil-Mâezard conjecture. Along the way, they prove a number of foundational results in p-adic Hodge theory that may be of independent interest"--
"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 âetale ([phi], [Gamma])-modules; the formal completions of these stacks at points in their special fibres recover the universal deformation rings of local Galois representations. Matthew Emerton and Toby Gee use these stacks to show that all mod p representations of the absolute Galois group of a p-adic local field lift to characteristic zero, and indeed admit crystalline lifts. They explicitly describe the irreducible components of the underlying reduced substacks and discuss the relationship between the geometry of these stacks and the Breuil-Mâezard conjecture. Along the way, they prove a number of foundational results in p-adic Hodge theory that may be of independent interest"--
Über den Autor
Matthew Emerton is professor of mathematics at the University of Chicago. Toby Gee is professor of mathematics at Imperial College London.
Details
Erscheinungsjahr: 2022
Fachbereich: Geometrie
Genre: Importe, Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Inhalt: Einband - flex.(Paperback)
ISBN-13: 9780691241357
ISBN-10: 069124135X
Sprache: Englisch
Einband: Kartoniert / Broschiert
Autor: Emerton, Matthew
Gee, Toby
Hersteller: Princeton University Press
Verantwortliche Person für die EU: Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de
Maße: 231 x 155 x 13 mm
Von/Mit: Matthew Emerton (u. a.)
Erscheinungsdatum: 13.12.2022
Gewicht: 0,454 kg
Artikel-ID: 121179994
Über den Autor
Matthew Emerton is professor of mathematics at the University of Chicago. Toby Gee is professor of mathematics at Imperial College London.
Details
Erscheinungsjahr: 2022
Fachbereich: Geometrie
Genre: Importe, Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Inhalt: Einband - flex.(Paperback)
ISBN-13: 9780691241357
ISBN-10: 069124135X
Sprache: Englisch
Einband: Kartoniert / Broschiert
Autor: Emerton, Matthew
Gee, Toby
Hersteller: Princeton University Press
Verantwortliche Person für die EU: Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de
Maße: 231 x 155 x 13 mm
Von/Mit: Matthew Emerton (u. a.)
Erscheinungsdatum: 13.12.2022
Gewicht: 0,454 kg
Artikel-ID: 121179994
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