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• catalog abstract ""The focus in this book is on the theory of regulators and secondary invariants, with articles written and refereed by experts in their respective fields. A short historical and mathematical overview of the theory of regulators from its number theoretic origins, and its connections to analysis, topology, differential geometry, and algebra, is presented by the editors in the introduction, with key topics noted as follows: hyperbolic volume and the Borel regulator, the Chern-Simons invariant, the Bloch-Beilinson regulator, polylogarithms (classical and elliptic), and analytic torsion."--Jacket. "This work is an outgrowth of a conference held at the Hebrew University in Jerusalem on Regulators in Analysis, Geometry and Number Theory, and should appeal to a broad audience of graduate students and research mathematicians."--Jacket.".
• catalog contributor b11440167.
• catalog contributor b11440168.
• catalog contributor b11440169.
• catalog created "c2000.".
• catalog date "2000".
• catalog date "c2000.".
• catalog dateCopyrighted "c2000.".
• catalog description ""The focus in this book is on the theory of regulators and secondary invariants, with articles written and refereed by experts in their respective fields.".
• catalog description ""This work is an outgrowth of a conference held at the Hebrew University in Jerusalem on Regulators in Analysis, Geometry and Number Theory, and should appeal to a broad audience of graduate students and research mathematicians."--Jacket.".
• catalog description "A short historical and mathematical overview of the theory of regulators from its number theoretic origins, and its connections to analysis, topology, differential geometry, and algebra, is presented by the editors in the introduction, with key topics noted as follows: hyperbolic volume and the Borel regulator, the Chern-Simons invariant, the Bloch-Beilinson regulator, polylogarithms (classical and elliptic), and analytic torsion."--Jacket.".
• catalog description "Includes bibliographical references.".
• catalog description "Introduction / A. Reznikov and N. Schappacher -- Cohomology of Congruence Subgroups of SU (2, 1)[superscript p] and Hodge Cycles on Some Special Complex Hyperbolic Surfaces / Don Blasius and Jonathan Rogawski -- Remarks on Elliptic Motives / Spencer Bloch -- On Dynamical Systems and Their Possible Significance for Arithmetic Geometry / Christopher Deninger -- Algebraic Differential Characters / Helene Esnault -- Some Computations in Weight 4 Motivic Complexes / Herbert Gangl -- Geometry of the Trilogarithm and the Motivic Lie Algebra of a Field / A.B. Goncharov -- Complex Analytic Torsion Forms for Torus Fibrations and Moduli Spaces / Kai Kohler -- Theoremes de Lefschetz et de Hodge arithmetiques pour les varietes admettant une decomposition cellulaire / Klaus Kunnemann and Vincent Maillot -- Polylogarithmic Currents on Abelian Varieties / Andrey Levin -- Secondary Analytic Indices / John Lott -- Variations of Hodge-de Rham Structure and Elliptic Modular Units / Jorg Wildeshaus.".
• catalog extent "xv, 324 p. :".
• catalog hasFormat "Regulators in analysis, geometry, and number theory.".
• catalog identifier "0817641157 (alk. paper)".
• catalog identifier "3764341157 (alk. paper)".
• catalog isFormatOf "Regulators in analysis, geometry, and number theory.".
• catalog isPartOf "Progress in mathematics (Boston, Mass.) ; v. 171.".
• catalog isPartOf "Progress in mathematics ; v. 171".
• catalog issued "2000".
• catalog issued "c2000.".
• catalog language "eng".
• catalog publisher "Boston : Birhauser,".
• catalog relation "Regulators in analysis, geometry, and number theory.".
• catalog subject "512/.74 21".
• catalog subject "QA247 .R415 1999".
• catalog subject "Regulators (Mathematics)".
• catalog tableOfContents "Introduction / A. Reznikov and N. Schappacher -- Cohomology of Congruence Subgroups of SU (2, 1)[superscript p] and Hodge Cycles on Some Special Complex Hyperbolic Surfaces / Don Blasius and Jonathan Rogawski -- Remarks on Elliptic Motives / Spencer Bloch -- On Dynamical Systems and Their Possible Significance for Arithmetic Geometry / Christopher Deninger -- Algebraic Differential Characters / Helene Esnault -- Some Computations in Weight 4 Motivic Complexes / Herbert Gangl -- Geometry of the Trilogarithm and the Motivic Lie Algebra of a Field / A.B. Goncharov -- Complex Analytic Torsion Forms for Torus Fibrations and Moduli Spaces / Kai Kohler -- Theoremes de Lefschetz et de Hodge arithmetiques pour les varietes admettant une decomposition cellulaire / Klaus Kunnemann and Vincent Maillot -- Polylogarithmic Currents on Abelian Varieties / Andrey Levin -- Secondary Analytic Indices / John Lott -- Variations of Hodge-de Rham Structure and Elliptic Modular Units / Jorg Wildeshaus.".
• catalog title "Regulators in analysis, geometry, and number theory / Alexander Reznikov, Norbert Schappacher, editors.".
• catalog type "text".