Regulators in analysis, geometry, and number theory [electronic resource] / Alexander Reznikov, Norbert Schappacher, editors.
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 Bore...
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Full Text (via Springer) |
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| Other Authors: | , |
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Boston :
Birhauser,
©2000.
|
| Series: | Progress in mathematics (Boston, Mass.) ;
v. 171. |
| Subjects: |
MARC
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| 245 | 0 | 0 | |a Regulators in analysis, geometry, and number theory |h [electronic resource] / |c Alexander Reznikov, Norbert Schappacher, editors. |
| 260 | |a Boston : |b Birhauser, |c ©2000. | ||
| 300 | |a 1 online resource (xv, 324 pages) : |b illustrations. | ||
| 336 | |a text |b txt |2 rdacontent. | ||
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| 490 | 1 | |a Progress in mathematics ; |v v. 171. | |
| 504 | |a Includes bibliographical references. | ||
| 505 | 0 | 0 | |t Introduction / |r A. Reznikov and N. Schappacher -- |t Cohomology of Congruence Subgroups of SU (2, 1)[superscript p] and Hodge Cycles on Some Special Complex Hyperbolic Surfaces / |r Don Blasius and Jonathan Rogawski -- |t Remarks on Elliptic Motives / |r Spencer Bloch -- |t On Dynamical Systems and Their Possible Significance for Arithmetic Geometry / |r Christopher Deninger -- |t Algebraic Differential Characters / |r Helene Esnault -- |t Some Computations in Weight 4 Motivic Complexes / |r Herbert Gangl -- |t Geometry of the Trilogarithm and the Motivic Lie Algebra of a Field / |r A.B. Goncharov -- |t Complex Analytic Torsion Forms for Torus Fibrations and Moduli Spaces / |r Kai Kohler -- |t Theoremes de Lefschetz et de Hodge arithmetiques pour les varietes admettant une decomposition cellulaire / |r Klaus Kunnemann and Vincent Maillot -- |t Polylogarithmic Currents on Abelian Varieties / |r Andrey Levin -- |t Secondary Analytic Indices / |r John Lott -- |t Variations of Hodge-de Rham Structure and Elliptic Modular Units / |r Jorg Wildeshaus. |
| 520 | 1 | |a "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. | |
| 520 | 8 | |a 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. | |
| 520 | 8 | |a "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. | |
| 588 | 0 | |a Print version record. | |
| 650 | 0 | |a Regulators (Mathematics) |0 http://id.loc.gov/authorities/subjects/sh99005742. | |
| 650 | 7 | |a Regulators (Mathematics) |2 fast |0 (OCoLC)fst01093286. | |
| 700 | 1 | |a Reznikov, Alexander, |d 1960-2003. |0 http://id.loc.gov/authorities/names/n99056444 |1 http://isni.org/isni/0000000109646121. | |
| 700 | 1 | |a Schappacher, Norbert. |0 http://id.loc.gov/authorities/names/n83312425 |1 http://isni.org/isni/0000000109244202. | |
| 776 | 0 | 8 | |i Print version: |w (DLC) 99044333 |w (OCoLC)42080329. |
| 830 | 0 | |a Progress in mathematics (Boston, Mass.) ; |v v. 171. |0 http://id.loc.gov/authorities/names/n42019868. | |
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