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p-adic Hodge Theory

  • Conference proceedings
  • © 2020

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Overview

Editors:
  1. Bhargav Bhatt

    1. Department of Mathematics, University of Michigan, Ann Arbor, USA

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  2. Martin Olsson

    1. Department of Mathematics, University of California, Berkeley, Berkeley, USA

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  • Focuses on a rapidly evolving field, emphasizing integrality questions
  • Contains articles that survey recent developments
  • Includes research articles, which advance the field

Part of the book series: Simons Symposia (SISY)

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About this book

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.

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Table of contents (6 papers)

  1. Front Matter

    Pages i-vii
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  2. Notes on the \(\mathbb A_{{\mathrm {inf}}}\)-Cohomology of Integral p-Adic Hodge Theory

    • Matthew Morrow
    Pages 1-69
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  3. On the Cohomology of the Affine Space

    • Pierre Colmez, Wiesława Nizioł
    Pages 71-80
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  4. Arithmetic Chern–Simons Theory II

    • Hee-Joong Chung, Dohyeong Kim, Minhyong Kim, Jeehoon Park, Hwajong Yoo
    Pages 81-128
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  5. Some Ring-Theoretic Properties of \(\mathbf {A}_{{{\mathrm{inf}\,}}}\)

    • Kiran S. Kedlaya
    Pages 129-141
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  6. Sur une q-déformation locale de la théorie de Hodge non-abélienne en caractéristique positive

    • Michel Gros
    Pages 143-160
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  7. Crystalline \(\mathbb {Z}_p\)-Representations and \(A_{\inf }\)-Representations with Frobenius

    • Takeshi Tsuji
    Pages 161-319
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Editors and Affiliations

  • Department of Mathematics, University of Michigan, Ann Arbor, USA

    Bhargav Bhatt

  • Department of Mathematics, University of California, Berkeley, Berkeley, USA

    Martin Olsson

Bibliographic Information

  • Book Title: p-adic Hodge Theory

  • Editors: Bhargav Bhatt, Martin Olsson

  • Series Title: Simons Symposia

  • DOI: https://doi.org/10.1007/978-3-030-43844-9

  • Publisher: Springer Cham

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2020

  • Hardcover ISBN: 978-3-030-43843-2Published: 16 June 2020

  • eBook ISBN: 978-3-030-43844-9Published: 15 June 2020

  • Series ISSN: 2365-9564

  • Series E-ISSN: 2365-9572

  • Edition Number: 1

  • Number of Pages: VII, 319

  • Number of Illustrations: 23 b/w illustrations

  • Topics: Algebraic Geometry, Number Theory

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