This book is an outgrowth of the conference “Regulators 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 o Additive polylogarithms o Analytic torsions o Chabauty-Kim theory o Local Grothendieck-Riemann-Roch theorems o Periods o 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. Muller, N. Otsubo, J. Raimbault, W. Raskin, D. Rossler, S. Shen, N. Triantafi llou, S. Unver and J. Vonk.

Arithmetic L-Functions and Differential Geometric Methods: Regulators IV, May 2016, Paris (Progress in Mathematics, 338) PDF

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