Arithmetic L-Functions and Differential Geometric Methods

ebook Regulators IV, May 2016, Paris · Progress in Mathematics

By Pierre Charollois

cover image of Arithmetic L-Functions and Differential Geometric Methods

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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.

  • Arithmetic L-Functions and Differential Geometric Methods