Arithmetic L-Functions and Differential Geometric Methods: Regulators IV, May 2016, Paris

by Pierre Charollois (Editor), Gerard Freixas i Montplet (Editor), Vincent Maillot (Editor)

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.

Product Details

ISBN-13:	9783030652050
Publisher:	Springer International Publishing
Publication date:	05/18/2021
Series:	Progress in Mathematics , #338
Edition description:	1st ed. 2021
Pages:	324
Product dimensions:	6.10(w) x 9.25(h) x (d)

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.