Breuil-Kisin modules and integral p-adic Hodge theory

Gao, Hui

doi:10.4171/JEMS/1278

Item

ITEM ACTIONSEXPORT

Add to Basket

Local TagsRelease HistoryDetailsSummary

Released

Journal Article

Breuil-Kisin modules and integral p-adic Hodge theory

MPS-Authors

/persons/resource/persons293484

Gao, Hui
Max Planck Institute for Mathematics, Max Planck Society;

External Resource

https://doi.org/10.48550/arXiv.1905.08555
(Preprint)

https://doi.org/10.4171/jems/1278
(Publisher version)

Fulltext (restricted access)

There are currently no full texts shared for your IP range.

Fulltext (public)

Gao_Breuil-Kisin modules and integral p-adic Hodge theory_2023.pdf
(Publisher version), 681KB

Supplementary Material (public)

There is no public supplementary material available

Citation

Gao, H. (2023). Breuil-Kisin modules and integral p-adic Hodge theory. Journal of the European Mathematical Society, 25(10), 3979-4032. doi:10.4171/JEMS/1278.

Cite as: https://hdl.handle.net/21.11116/0000-000D-E4BA-0

Abstract

We construct a category of Breuil-Kisin $G_K$-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.