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Regulators in Analysis, Geometry and Number Theory

  • Book
  • © 2000

Overview

Editors:
  1. Alexander Reznikov

    1. Department of Mathematical Sciences, University of Durham, Durham, UK

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    You can also search for this editor in PubMed   Google Scholar

  2. Norbert Schappacher

    1. UFR Mathématiques et Informatique, ULP, Strasbourg Cedex, France

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    You can also search for this editor in PubMed   Google Scholar

Part of the book series: Progress in Mathematics (PM, volume 171)

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Table of contents (11 chapters)

  1. Front Matter

    Pages i-xv
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  2. Cohomology of Congruence Subgroups of SU (2, 1)p and Hodge Cycles on Some Special Complex Hyperbolic Surfaces

    • Don Blasius, Jonathan Rogawski
    Pages 1-15

  3. Remarks on Elliptic Motives

    • Spencer Bloch
    Pages 17-27

  4. On Dynamical Systems and Their Possible Significance for Arithmetic Geometry

    • Christopher Deninger
    Pages 29-87

  5. Algebraic Differential Characters

    • Hélène Esnault
    Pages 89-115

  6. Some Computations in Weight 4 Motivic Complexes

    • Herbert Gangl
    Pages 117-125

  7. Geometry of the Trilogarithm and the Motivic Lie Algebra of a Field

    • A. B. Goncharov
    Pages 127-165

  8. Complex Analytic Torsion Forms for Torus Fibrations and Moduli Spaces

    • Kai Köhler
    Pages 167-195

  9. Théorèmes de Lefschetz et de Hodge arithmétiques pour les variétés admettant une décomposition cellulaire

    • Klaus Künnemann, Vincent Maillot
    Pages 197-205

  10. Polylogarithmic Currents on Abelian Varieties

    • Andrey Levin
    Pages 207-229

  11. Secondary Analytic Indices

    • John Lott
    Pages 231-293

  12. Variations of Hodge—de Rham Structure and Elliptic Modular Units

    • Jörg Wildeshaus
    Pages 295-324

  13. Back Matter

    Pages 325-327
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Keywords

About this book

This book is an outgrowth of the Workshop on "Regulators in Analysis, Geom­ etry and Number Theory" held at the Edmund Landau Center for Research in Mathematical Analysis of The Hebrew University of Jerusalem in 1996. During the preparation and the holding of the workshop we were greatly helped by the director of the Landau Center: Lior Tsafriri during the time of the planning of the conference, and Hershel Farkas during the meeting itself. Organizing and running this workshop was a true pleasure, thanks to the expert technical help provided by the Landau Center in general, and by its secretary Simcha Kojman in particular. We would like to express our hearty thanks to all of them. However, the articles assembled in the present volume do not represent the proceedings of this workshop; neither could all contributors to the book make it to the meeting, nor do the contributions herein necessarily reflect talks given in Jerusalem. In the introduction, we outline our view of the theory to which this volume intends to contribute. The crucial objective of the present volume is to bring together concepts, methods, and results from analysis, differential as well as algebraic geometry, and number theory in order to work towards a deeper and more comprehensive understanding of regulators and secondary invariants. Our thanks go to all the participants of the workshop and authors of this volume. May the readers of this book enjoy and profit from the combination of mathematical ideas here documented.

Editors and Affiliations

  • Department of Mathematical Sciences, University of Durham, Durham, UK

    Alexander Reznikov

  • UFR Mathématiques et Informatique, ULP, Strasbourg Cedex, France

    Norbert Schappacher

Bibliographic Information

  • Book Title: Regulators in Analysis, Geometry and Number Theory

  • Editors: Alexander Reznikov, Norbert Schappacher

  • Series Title: Progress in Mathematics

  • DOI: https://doi.org/10.1007/978-1-4612-1314-7

  • Publisher: Birkhäuser Boston, MA

  • eBook Packages: Springer Book Archive

  • Copyright Information: Birkhäuser Boston 2000

  • Hardcover ISBN: 978-0-8176-4115-3Published: 22 October 1999

  • Softcover ISBN: 978-1-4612-7089-8Published: 23 October 2012

  • eBook ISBN: 978-1-4612-1314-7Published: 06 December 2012

  • Series ISSN: 0743-1643

  • Series E-ISSN: 2296-505X

  • Edition Number: 1

  • Number of Pages: XV, 327

  • Topics: Number Theory, Several Complex Variables and Analytic Spaces, Differential Geometry, Topology

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