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Moduli Stacks of Etale (?, G)-Modules and the Existence of Crystalline Lifts
Engelsk Paperback
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Moduli Stacks of Etale (?, G)-Modules and the Existence of Crystalline Lifts
Engelsk Paperback

716 kr
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Om denne bog
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 over Spf Zp that parameterize étale (?, G)-modules; the formal completions of these stacks at points in their special fibres recover the universal deformation rings of local Galois representations. These stacks are then used 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. The book explicitly describes the irreducible components of the underlying reduced substacks and discusses the relationship between the geometry of these stacks and the Breuil–Mézard conjecture. Along the way, it proves a number of foundational results in p-adic Hodge theory that may be of independent interest.
Product detaljer
Sprog:
Engelsk
Sider:
312
ISBN-13:
9780691241357
Indbinding:
Paperback
Udgave:
ISBN-10:
069124135X
Udg. Dato:
13 dec 2022
Længde:
21mm
Bredde:
157mm
Højde:
232mm
Forlag:
Princeton University Press
Oplagsdato:
13 dec 2022
Forfatter(e):
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