Regulators in analysis, geometry and number theory
著者
書誌事項
Regulators in analysis, geometry and number theory
（Progress in mathematics, v. 171）
Birkhäuser, c2000
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注記
Includes bibliographical references
"This book is an outgrowth of the Workshop on "Regulators in Analysis, Geometry and Number Theory" held at the Edmund Landau Center for Research in Mathematical Analysis of the Hebrew University of Jerusalem in 1996" -- Pref
内容説明・目次
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: us ISBN 9780817641153
内容説明
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.
目次
Cohomology of Congruence Subgroups of SU(2, 1)P and Hodge Cycles on Some Special Complex Hyperbolic Surfaces.- Remarks on Elliptic Motives.- On Dynamical Systems and Their Possible Significance for Arithmetic Geometry.- Algebraic Differential Characters.- Some Computations in Weight 4 Motivic Complexes.- Geometry of the Trilogarithm and the Motivic Lie Algebra of a Field.- Complex Analytic Torsion Forms for Torus Fibrations and Moduli Spaces.- Theoremes de Lefschetz et de Hodge arithmetiques pour les varietes admettant une decomposition cellulaire.- Polylogarithmic Currents on Abelian Varieties.- Secondary Analytic Indices.- Variations of Hodge-de Rham Structure and Elliptic Modular Units.
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ISBN 9783764341152
内容説明
This volume higlights progress in the theory regulators and secondary invariants, bringing together concepts, methods, results from analysis, differential geometry, algebraic geometry and number theory. A historical and mathematical overview of the theory of regulators is presented followed by articles written and refereed by experts in their respective fields.
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