Arithmetic L-Functions and Differential Geometric Methods: Regulators IV, May 2016, Paris
Author:   Pierre Charollois ,  Gerard Freixas i Montplet ,  Vincent Maillot
Publisher:   Springer Nature Switzerland AG
Edition:   1st ed. 2021
Volume:   338
ISBN:  

9783030652029


Pages:   324
Publication Date:   18 May 2021
Format:   Hardback
Availability:   Manufactured on demand   Availability explained
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Arithmetic L-Functions and Differential Geometric Methods: Regulators IV, May 2016, Paris


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Overview

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.

Full Product Details

Author:   Pierre Charollois ,  Gerard Freixas i Montplet ,  Vincent Maillot
Publisher:   Springer Nature Switzerland AG
Imprint:   Springer Nature Switzerland AG
Edition:   1st ed. 2021
Volume:   338
Weight:   0.664kg
ISBN:  

9783030652029


ISBN 10:   3030652025
Pages:   324
Publication Date:   18 May 2021
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

Preface.- Regulator of hypergeometric fibrations.- Two recent p-adic approaches towards the (effective) Mordell conjecture.- The syntomic regulator for K2 of curves with arbitrary reduction.- Toric regulators.- Higher displays arising from filtered de Rham-Witt complexes.- Orbifold submersion and analytic torsions.- Analytic torsions, regulators and arithmetic hyperbolic manifolds.- A local re nement of the Adams-Riemann-Roch theorem in degree one.- Analytic torsion and dynamical flow: a survey on the Fried conjecture.- A survey of the additive dilogarithm.

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