New methods for (phi, Gamma)-modules

Published 10 Jul 2013 in math.NT | (1307.2937v2)

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

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