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arXiv · 1307.2937

New methods for (phi, Gamma)-modules

Kiran S. Kedlaya
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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.

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Kiran S. Kedlaya. 2013-07-10. New methods for (phi, Gamma)-modules. https://arxiv.org/abs/1307.2937

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