Moduli stacks of étale (φ, Γ)-modules and the existence of crystalline lifts
著者
書誌事項
Moduli stacks of étale (φ, Γ)-modules and the existence of crystalline lifts
（Annals of mathematics studies, no. 215）
Princeton University Press, 2023
- タイトル別名
-
Moduli stacks of étale (phi, Gamma)-modules and the existence of crystalline lifts
大学図書館所蔵 件 / 全17件
-
該当する所蔵館はありません
- すべての絞り込み条件を解除する
注記
Includes bibliographical references (p. [289]-296) and index
内容説明・目次
内容説明
A foundational account of a new construction in the p-adic Langlands correspondence
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 etale ( , )-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-Mezard conjecture. Along the way, it proves a number of foundational results in p-adic Hodge theory that may be of independent interest.
「Nielsen BookData」 より