| Title | Breuil-Kisin modules and integral p-adic Hodge theory |
| Author | |
| Corresponding Author | Gao, Hui |
| Publication Years | 2023
|
| DOI | |
| Source Title | |
| ISSN | 1435-9855
|
| Volume | 25Issue:10 |
| Abstract | 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. |
| Keywords | |
| URL | [Source Record] |
| Indexed By | |
| Language | English
|
| SUSTech Authorship | First
; Corresponding
|
| Funding Project | null[NSFC-12071201]
|
| WOS Research Area | Mathematics
|
| WOS Subject | Mathematics, Applied
; Mathematics
|
| WOS Accession No | WOS:001063279500005
|
| Publisher | |
| ESI Research Field | MATHEMATICS
|
| Data Source | Web of Science
|
| Citation statistics | |
| Document Type | Journal Article |
| Identifier | http://kc.sustech.edu.cn/handle/2SGJ60CL/582954 |
| Department | Department of Mathematics |
| Affiliation | 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 |
| First Author Affilication | Department of Mathematics |
| Corresponding Author Affilication | Department of Mathematics |
| First Author's First Affilication | Department of Mathematics |
| Recommended Citation GB/T 7714 |
Gao, Hui,Liu, Tong,Ozeki, Yoshiyasu. Breuil-Kisin modules and integral p-adic Hodge theory[J]. JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY,2023,25(10).
|
| APA |
Gao, Hui,Liu, Tong,&Ozeki, Yoshiyasu.(2023).Breuil-Kisin modules and integral p-adic Hodge theory.JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY,25(10).
|
| MLA |
Gao, Hui,et al."Breuil-Kisin modules and integral p-adic Hodge theory".JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY 25.10(2023).
|
| Files in This Item: | There are no files associated with this item. | |||||
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