Arithmetic L-Functions and Differential Geometric Methods

This book is an outgrowth of the conference "Regulators IV: An International Conferenceon Arithmetic L-functions and Differential Geometric Methods" that was held in Paris inMay 2016. Gathering contributions by leading experts in the field ranging from originalsurveys to pure research articles, this volume provides comprehensive coverage of thefront mostdevelopments 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.