Details

Arithmetic L-Functions and Differential Geometric Methods

Arithmetic L-Functions and Differential Geometric Methods

Regulators IV, May 2016, Paris
Progress in Mathematics, Band 338

von: Pierre Charollois, Gerard Freixas i Montplet, Vincent Maillot

181,89 €

Verlag: Birkhäuser
Format: PDF
Veröffentl.: 17.05.2021
ISBN/EAN: 9783030652036
Sprache: englisch

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Beschreibungen

Titelbeschreibung

<p>This book is an outgrowth of the conference “Regulators IV: An International Conference&nbsp;on Arithmetic L-functions and Differential Geometric Methods” that was held in Paris in&nbsp;May 2016. Gathering contributions by leading experts in the field ranging from original&nbsp;surveys to pure research articles, this volume provides comprehensive coverage of the&nbsp;front most&nbsp;developments in the field of regulator maps. Key topics covered are:</p><p>• Additive polylogarithms</p><p>• Analytic torsions</p><p>• Chabauty-Kim theory</p><p>• Local Grothendieck-Riemann-Roch theorems</p><p>• Periods</p><p>• Syntomic regulator</p><p>The book contains contributions by M. Asakura, J. Balakrishnan, A. Besser, A. Best,&nbsp;F. Bianchi, O. Gregory, A. Langer, B. Lawrence, X. Ma, S. Müller, N. Otsubo, J. Raimbault,&nbsp;W. Raskin, D. Rössler, S. Shen, N. Triantafi llou, S. Ünver and J. Vonk.</p><p></p><p></p>

Inhaltsverzeichnis

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

Back cover copy

<p>This book is an outgrowth of the conference “Regulators IV: An International Conference&nbsp;on Arithmetic L-functions and Differential Geometric Methods” that was held in Paris in&nbsp;May 2016. Gathering contributions by leading experts in the field ranging from original&nbsp;surveys to pure research articles, this volume provides comprehensive coverage of the&nbsp;front most&nbsp;developments in the field of regulator maps. Key topics covered are:</p><p>• Additive polylogarithms</p><p>• Analytic torsions</p><p>• Chabauty-Kim theory</p><p>• Local Grothendieck-Riemann-Roch theorems</p><p>• Periods</p><p>• Syntomic regulator</p><p>The book contains contributions by M. Asakura, J. Balakrishnan, A. Besser, A. Best,&nbsp;F. Bianchi, O. Gregory, A. Langer, B. Lawrence, X. Ma, S. Müller, N. Otsubo, J. Raimbault,&nbsp;W. Raskin, D. Rössler, S. Shen, N. Triantafi llou, S. Ünver and J. Vonk.<br></p><p></p>

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