New methods for (phi, Gamma)-modules
Number Theory
2015-01-16 v2
Abstract
We provide new proofs of two key results of p-adic Hodge theory: the Fontaine-Wintenberger isomorphism between Galois groups in characteristic 0 and characteristic p, and the Cherbonnier-Colmez theorem on decompletion of (phi, Gamma)-modules. These proofs are derived from joint work with Liu on relative p-adic Hodge theory, and are closely related to Scholze's study of perfectoid algebras and spaces.
Cite
@article{arxiv.1307.2937,
title = {New methods for (phi, Gamma)-modules},
author = {Kiran S. Kedlaya},
journal= {arXiv preprint arXiv:1307.2937},
year = {2015}
}
Comments
27 pages; v2: updated references, other minor changes