Sonderangebot Stämpflis juristische Lehrbücher: Bis Ende November profitieren Sie von 20% Rabatt auf folgende Lehr- und Praxisbücher.
Fokusthemen
Publikationen
Services
Autorinnen/Autoren
Verlag
Shop
LEXIA
Zeitschriften
SachbuchLOKISemaphor

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

Inhalt

"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"--

Bibliografische Angaben

Dezember 2022, 312 Seiten, Annals of Mathematics Studies, Englisch
University Presses
978-0-691-24135-7

Schlagworte

Weitere Titel der Reihe: Annals of Mathematics Studies

Alle anzeigen

Weitere Titel zum Thema