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Arithmetic L-Functions and Differential Geometric Methods

Regulators IV, May 2016, Paris

  • Conference proceedings
  • © 2021

Overview

Editors:
  1. Pierre Charollois

    1. Institut de Mathématiques de Jussieu, Sorbonne Université, Paris, France

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  2. Gerard Freixas i Montplet

    1. Institut de Mathématiques de Jussieu, CNRS, Paris, France

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    You can also search for this editor in PubMed   Google Scholar

  3. Vincent Maillot

    1. Institut de Mathématiques de Jussieu, CNRS, Paris, France

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Part of the book series: Progress in Mathematics (PM, volume 338)

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Table of contents (10 papers)

  1. Front Matter

    Pages i-viii
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  2. Regulators of K1 of Hypergeometric Fibrations

    • Masanori Asakura, Noriyuki Otsubo
    Pages 1-30

  3. Two Recent p-adic Approaches Towards the (Effective) Mordell Conjecture

    • J. S. Balakrishnan, A. J. Best, F. Bianchi, B. Lawrence, J. S. Müller, N. Triantafillou et al.
    Pages 31-74

  4. The Syntomic Regulator for K2 of Curves with Arbitrary Reduction

    • Amnon Besser
    Pages 75-89

  5. Toric Regulators

    • Amnon Besser, Wayne Raskind
    Pages 91-120

  6. Higher Displays Arising from Filtered de Rham–Witt Complexes

    • Oli Gregory, Andreas Langer
    Pages 121-140

  7. Orbifold Submersion and Analytic Torsions

    • Xiaonan Ma
    Pages 141-177

  8. Analytic Torsion, Regulators and Arithmetic Hyperbolic Manifolds

    • Jean Raimbault
    Pages 179-212

  9. A Local Refinement of the Adams–Riemann–Roch Theorem in Degree One

    • Damian Rössler
    Pages 213-246

  10. Analytic Torsion and Dynamical Flow:A Survey on the Fried Conjecture

    • Shu Shen
    Pages 247-299

  11. A Survey of the Additive Dilogarithm

    • Sinan Ünver
    Pages 301-324
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Keywords

About this book

This book is an outgrowth of the conference “Regulators IV: An International Conference on Arithmetic L-functions and Differential Geometric Methods” that was held in Paris in May 2016. Gathering contributions by leading experts in the field ranging from original surveys to pure research articles, this volume provides comprehensive coverage of the front most developments in the field of regulator maps. Key topics covered are:

• Additive polylogarithms

• Analytic torsions

• Chabauty-Kim theory

• Local Grothendieck-Riemann-Roch theorems

• Periods

• Syntomic regulator

The book contains contributions by M. Asakura, J. Balakrishnan, A. Besser, A. Best, F. Bianchi, O. Gregory, A. Langer, B. Lawrence, X. Ma, S. Müller, N. Otsubo, J. Raimbault, W. Raskin, D. Rössler, S. Shen, N. Triantafi llou, S. Ünver and J. Vonk.

Editors and Affiliations

  • Institut de Mathématiques de Jussieu, Sorbonne Université, Paris, France

    Pierre Charollois

  • Institut de Mathématiques de Jussieu, CNRS, Paris, France

    Gerard Freixas i Montplet, Vincent Maillot

Bibliographic Information

  • Book Title: Arithmetic L-Functions and Differential Geometric Methods

  • Book Subtitle: Regulators IV, May 2016, Paris

  • Editors: Pierre Charollois, Gerard Freixas i Montplet, Vincent Maillot

  • Series Title: Progress in Mathematics

  • DOI: https://doi.org/10.1007/978-3-030-65203-6

  • Publisher: Birkhäuser 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 2021

  • Hardcover ISBN: 978-3-030-65202-9Published: 18 May 2021

  • Softcover ISBN: 978-3-030-65205-0Published: 19 May 2022

  • eBook ISBN: 978-3-030-65203-6Published: 17 May 2021

  • Series ISSN: 0743-1643

  • Series E-ISSN: 2296-505X

  • Edition Number: 1

  • Number of Pages: VIII, 324

  • Topics: Number Theory, Differential Geometry, Algebraic Geometry

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