Breuil-Kisin modules and integral $p$-adic Hodge theory
Number Theory
2025-04-09 v6
Abstract
We construct a category of Breuil-Kisin -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 -adic cohomology theories of Bhatt-Morrow-Scholze and Bhatt-Scholze. As a key ingredient, we classify Galois representations that are of finite -height.
Cite
@article{arxiv.1905.08555,
title = {Breuil-Kisin modules and integral $p$-adic Hodge theory},
author = {Hui Gao},
journal= {arXiv preprint arXiv:1905.08555},
year = {2025}
}
Comments
final version. (slight typographical difference with journal version)