Regulators in analysis, geometry, and number theory (Progress in mathematics) - Hardcover

Alexander Reznikov; Norbert Schappacher

Hardcover

ISBN 10: 3764341157 ISBN 13: 9783764341152

Publisher: Birhauser, 1999

Synopsis

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 hyperbolic volume and the Borel regulator, the Chern-Simons invariant, the Bloch-Beilinson regulator, polylogarithms (classical and elliptic), p-adic analalogues, and analytic torsion. Contributors D. Blasius, S. Bloch, C. Deninger, H. Esnault, H. Gangl, A. Goncharov, K. Khler, K. Knnemann, A. Levin, J. Lott, V. Maillot, J. Rogawski, and J. Wildeshaus. 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. Progress in Mathematics, Vol. 171

Edition details

• Publisher: Birhauser
• Publication date: 1999
• Language: English
• ISBN 10: 3764341157
• ISBN 13: 9783764341152
• Binding: Hardcover