Moduli stacks of étale ([phi], [Gamma])-modules and the existence of crystalline lifts
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 ([phi], [Gamma])-modules; the formal comp...
Kaydedildi:
| Asıl Yazarlar: | , |
|---|---|
| Materyal Türü: | Livre numérique |
| Dil: | Anglais |
| Baskı/Yayın Bilgisi: |
Princeton :
Princeton University Press
2022.
|
| Konular: | |
| Online Erişim: | Accès Université d'Orléans et IFPM Accès INSA CVL |
| Not: |
Couverture. https://static2.cyberlibris.com/books_upload/136pix/9780691241364.jpg Cyberlibris (ScholarVox) corpus Sciences de l'ingénieur Cyberlibris (ScholarVox) corpus Sciences de l'ingénieur |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Moduli stacks of étale ([phi], [Gamma])-modules and the existence of crystalline lifts, Matthew Emerton, Toby Gee, 2023, Princeton, Princeton University Press, 1 vol. (ix-298 p.), Annals of mathematics studies, 978-0-691-24134-0 |
| Özet: | 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 ([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-Mézard conjecture. Along the way, they prove a number of foundational results in p-adic Hodge theory that may be of independent interest |
|---|---|
| Diğer Bilgileri: | Couverture. https://static2.cyberlibris.com/books_upload/136pix/9780691241364.jpg Cyberlibris (ScholarVox) corpus Sciences de l'ingénieur Cyberlibris (ScholarVox) corpus Sciences de l'ingénieur |
| Bibliyografya: | Bibliogr. p. [289]-296. Index |
| ISBN: | 9780691241364 |
| Erişim: | L'accès en ligne est réservé aux établissements ou bibliothèques ayant souscrit l'abonnement. Cyberlibris |