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Compactifying Moduli Spaces for Abelian Varieties
Martin C. Olsson
PocketEngelsk
Del av serien Lecture Notes in Mathematics
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Moduli Stacks of Étale (phi,Gamma) – Modules and the Existence of Crystalline Lifts
Av Matthew Emerton, Toby Gee, 2022.Del av serien Annals of Mathematics Studies.
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.
InnbundetEngelsk
Normalpris: 2 169,-
1 952,-
Spar 217,-
Laveste pris siste 30 dager: 2 078,-
Ved å fullføre kjøpet aksepterer jeg kjøpsvilkårene.
Ikke tilgjengelig for Klikk&Hent
På nettlager. Bestilles fra England. Leveres normalt innen 5-8 virkedager.
Oppdag mer
Moduli Stacks of Étale (phi,Gamma) – Modules and the Existence of Crystalline Lifts
Av Matthew Emerton, Toby Gee, 2022.Del av serien Annals of Mathematics Studies.
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.
Oppdag mer
Normalpris: 2 169,-
1 952,-
Spar 217,-
Laveste pris siste 30 dager: 2 078,-
InnbundetEngelsk
Ved å fullføre kjøpet aksepterer jeg kjøpsvilkårene.
Ikke tilgjengelig for Klikk&Hent
På nettlager. Bestilles fra England. Leveres normalt innen 5-8 virkedager.
1 952,-
Ved å fullføre kjøpet aksepterer du kjøpsvilkårene.
