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p-adic Hodge Theory

✍ Scribed by Bhargav Bhatt, Martin Olsson

Publisher
Springer International Publishing;Springer
Year
2020
Tongue
English, French
Leaves
325
Series
Simons Symposia
Edition
1st ed.
Category
Library
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✦ Synopsis

This 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 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 is the first of three volumes dedicated to p-adic Hodge theory.

✦ Table of Contents

Front Matter ....Pages i-vii
Notes on the (\mathbb A_{{\mathrm {inf}}})-Cohomology of Integral p-Adic Hodge Theory (Matthew Morrow)....Pages 1-69
On the Cohomology of the Affine Space (Pierre Colmez, Wiesława Nizioł)....Pages 71-80
Arithmetic Chern–Simons Theory II (Hee-Joong Chung, Dohyeong Kim, Minhyong Kim, Jeehoon Park, Hwajong Yoo)....Pages 81-128
Some Ring-Theoretic Properties of (\mathbf {A}{{{\mathrm{inf}\,}}}) (Kiran S. Kedlaya)....Pages 129-141
Sur une q-déformation locale de la théorie de Hodge non-abélienne en caractéristique positive (Michel Gros)....Pages 143-160
Crystalline (\mathbb {Z}_p)-Representations and (A{\inf })-Representations with Frobenius (Takeshi Tsuji)....Pages 161-319

✦ Subjects

Mathematics; Algebraic Geometry; Number Theory

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