Breuil-Kisin modules and integral p-adic Hodge theory

被引：3

作者：

Gao, Hui ^{[1
]}

Liu, Tong ^{[2
]}

Ozeki, Yoshiyasu ^{[3
]}

机构：

[1] Southern Univ Sci & Technol, Dept Math, Shenzhen 518055, Guangdong, Peoples R China

[2] Purdue Univ, Dept Math, W Lafayette, IN 47907 USA

[3] Kanagawa Univ, Fac Sci, Dept Math & Phys, 2946 Tsuchiya, Hiratsuka, Kanagawa 2591293, Japan

来源：

JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY | 2023年 / 25卷 / 10期

基金：

中国国家自然科学基金;

关键词：

Breuil-Kisin modules; integral p-adic Hodge theory; (q); v)-modules; SEMI-STABLE REPRESENTATIONS; GALOIS REPRESENTATIONS; CRYSTALLINE REPRESENTATIONS; LATTICES; (PHI; CONJECTURE; COHOMOLOGY; REDUCTION;

D O I：

10.4171/JEMS/1278

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We construct a category of Breuil-Kisin GK-modules to classify integral semi-stable Galois representations. Our theory uses Breuil-Kisin modules and Breuil-Kisin-Fargues modules with Galois actions, and can be regarded as the algebraic avatar of the integral p-adic cohomology theories of Bhatt-Morrow-Scholze and Bhatt-Scholze. As a key ingredient, we classify Galois representations that are of finite E(u)-height.

引用

页码：3979 / 4032

页数：54

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