The Arithmetic and Geometry of Algebraic Cycles: 548 (Nato Science Series C:, 548) - Tapa blanda

Brent Gordon, B.; Lewis, James D.; Müller-Stach, Stefan; Saito, Shuji

 
9780792361947: The Arithmetic and Geometry of Algebraic Cycles: 548 (Nato Science Series C:, 548)
Tapa blanda
ISBN 10: 0792361946 ISBN 13: 9780792361947
Editorial: Springer, 2008

Sinopsis

The NATO Advanced Study Institute on "The Arithmetic and Geometry of Algebraic Cycles" was held at the Banff Centre for Conferences in Banff (Al­ berta, Canada) from June 7 until June 19, 1998. This meeting was organized jointly with Centre de Recherches Mathematiques (CRM), Montreal, as one of the CRM Summer schools which take place annually at the Banff Center. The conference also served as the kick-off activity of the CRM 1998-99 theme year on Number Theory and Arithmetic Geometry. There were 109 participants who came from 17 countries: Belgium, Canada, China, France, Germany, Greece, India, Italy, Japan, Mexico, Netherlands, - mania, Russia, Spain, Switzerland, the United Kingdom and the United States. During a period of two weeks, 41 invited lectures and 20 contributed lec­ tures were presented. Four lectures by invited speakers were delivered every day, followed by two sessions of contributed talks. Many informal discussions and working sessions involving small groups were organized by individual partic­ ipants. In addition, participants’ reprints and preprints were displayed through­ out in a lounge next to the auditorium, which further enhanced opportunities for communication and interaction.

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Reseña del editor

The NATO Advanced Study Institute on "The Arithmetic and Geometry of Algebraic Cycles" was held at the Banff Centre for Conferences in Banff (Al­ berta, Canada) from June 7 until June 19, 1998. This meeting was organized jointly with Centre de Recherches Mathematiques (CRM), Montreal, as one of the CRM Summer schools which take place annually at the Banff Center. The conference also served as the kick-off activity of the CRM 1998-99 theme year on Number Theory and Arithmetic Geometry. There were 109 participants who came from 17 countries: Belgium, Canada, China, France, Germany, Greece, India, Italy, Japan, Mexico, Netherlands, - mania, Russia, Spain, Switzerland, the United Kingdom and the United States. During a period of two weeks, 41 invited lectures and 20 contributed lec­ tures were presented. Four lectures by invited speakers were delivered every day, followed by two sessions of contributed talks. Many informal discussions and working sessions involving small groups were organized by individual partic­ ipants. In addition, participants' reprints and preprints were displayed through­ out in a lounge next to the auditorium, which further enhanced opportunities for communication and interaction.

Reseña del editor

The subject of algebraic cycles has thrived through its interaction with algebraic K-theory, Hodge theory, arithmetic algebraic geometry, number theory, and topology. These interactions have led to such developments as a description of Chow groups in terms of algebraic K-theory, the arithmetic Abel-Jacobi mapping, progress on the celebrated conjectures of Hodge and Tate, and the conjectures of Bloch and Beilinson.
The immense recent progress in algebraic cycles, based on so many interactions with so many other areas of mathematics, has contributed to a considerable degree of inaccessibility, especially for graduate students. Even specialists in one approach to algebraic cycles may not understand other approaches well.
This book offers students and specialists alike a broad perspective of algebraic cycles, presented from several viewpoints, including arithmetic, transcendental, topological, motives and K-theory methods. Topics include a discussion of the arithmetic Abel-Jacobi mapping, higher Abel-Jacobi regulator maps, polylogarithms and L-series, candidate Bloch-Beilinson filtrations, applications of Chern-Simons invariants to algebraic cycles via the study of algebraic vector bundles with algebraic connection, motivic cohomology, Chow groups of singular varieties, and recent progress on the Hodge and Tate conjectures for Abelian varieties.

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Editorial
Springer
Año de publicación
2008
Idioma
Inglés
ISBN 10 
0792361946
ISBN 13 
9780792361947
Encuadernación
Tapa blanda
Número de páginas
648
Contacto del fabricante
ProductSafety@springernature.com
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Poststr. 9
Darmstadt
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Alemania

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9780792361930: The Arithmetic and Geometry of Algebraic Cycles: 548 (Nato Science Series C:, 548)

Edición Destacada

ISBN 10:  0792361938 ISBN 13:  9780792361930
Editorial: Springer, 2000
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