Titlebook: p-adic Hodge Theory; Bhargav Bhatt,Martin Olsson Conference proceedings 2020 The Editor(s) (if applicable) and The Author(s), under exclus

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2365-9564 rticles, which advance the fieldThis proceedings volume contains articles related to the research presented at the 2017 Simons Symposium on p-adic Hodge theory. This symposium was focused on recent developments in p-adic Hodge theory, especially those concerning integral questions and their connecti

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Some Ring-Theoretic Properties of ,, Bhatt–Morrow–Scholze have recently reinterpreted and refined the crystalline comparison isomorphism by relating it to a certain .-valued cohomology theory. We address some basic ring-theoretic questions about ., motivated by analogies with two-dimensional regular local rings. For example, we show

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,Sur une ,-déformation locale de la théorie de Hodge non-abélienne en caractéristique positive,gus and Vologodsky in 2005. The construction is based on the Morita-equivalence between a ring of .-twisted differential operators and its center. We also explain the expected relations between this construction and those recently done by Bhatt and Scholze. For the sake of readability, we limit ourselves to the case of dimension 1.

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Conference proceedings 2020cused on recent developments in p-adic Hodge theory, especially those concerning integral questions and their connections to notions in algebraic topology. This volume features original research articles as well as articles that contain new research and survey some of these recent developments. It i

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