The Arithmetic and Geometry of Algebraic Cycles. Proceedings of the CRM Summer School, June 7-19, 1998, Banff, Alberta, Canada. Volume 24.

B. Brent Gordon:

ISBN 10: 0821819542 / ISBN 13: 9780821819548

Edité par American Mathematical Society., 2000

A propos de cet article

432 Seiten, Zust: Gutes Exemplar. Schneller Versand und persönlicher Service - jedes Buch händisch geprüft und beschrieben - aus unserem Familienbetrieb seit über 25 Jahren. Eine Rechnung mit ausgewiesener Mehrwertsteuer liegt jeder unserer Lieferungen bei. Wir versenden mit der deutschen Post. Sprache: Englisch Gewicht in Gramm: 768.

N° de réf. du vendeur 494089

Détails bibliographiques

• Titre: The Arithmetic and Geometry of Algebraic Cycles. Proceedings of the CRM Summer School, June 7-19, 1998, Banff, Alberta, Canada. Volume 24.
• Éditeur: American Mathematical Society.
• Date de parution: 2000
• Langue: anglais
• ISBN à 10 chiffres: 0821819542
• ISBN à 13 chiffres: 9780821819548
• Reliure: kartoniert kartoniert
• État de l'article: Sehr gut
• Poids: 768 grammes
• Catalogues du vendeur:
  • Mathematik

A propos de ce titre

Synopsis

The NATO ASI/CRM Summer School at Banff offered a unique, full, and in-depth account of the topic, ranging from introductory courses by leading experts to discussions of the latest developments by all participants. The papers have been organized into three categories: cohomological methods; Chow groups and motives; and arithmetic methods. As a subfield of algebraic geometry, the theory of algebraic cycles has gone through various interactions with algebraic $K$-theory, Hodge theory, arithmetic algebraic geometry, number theory, and topology.These interactions have led to developments such as a description of Chow groups in terms of algebraic $K$-theory; the application of the Merkurjev-Suslin theorem to the arithmetic Abel-Jacobi mapping; progress on the celebrated conjectures of Hodge, and of Tate, which compute cycles class groups respectively in terms of Hodge theory or as the invariants of a Galois group action on etale cohomology; and, the conjectures of Bloch and Beilinson, which explain the zero or pole of the $L$-function of a variety and interpret the leading non-zero coefficient of its Taylor expansion at a critical point, in terms of arithmetic and geometric invariant of the variety and its cycle class groups. The immense recent progress in the theory of algebraic cycles is based on its many interactions with several other areas of mathematics. This conference was the first to focus on both arithmetic and geometric aspects of algebraic cycles. It brought together leading experts to speak from their various points of view. A unique opportunity was created to explore and view the depth and the breadth of the subject. This volume presents the intriguing results.