|
|
libcats.org
Arithmetic and Geometry of Algebraic CyclesB. Brent Gordon, James D. Lewis, Stefan Müller-Stach, Shuji Saito, Noriko YuiThe 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 étale cohomology, 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.
Популярные книги за неделю:
Проектирование и строительство. Дом, квартира, садАвтор: Петер Нойферт, Автор: Людвиг Нефф
Размер книги: 20.83 Mb
Система упражнений по развитию способностей человека (Практическое пособие)Автор: Петров Аркадий НаумовичКатегория: Путь к себе
Размер книги: 818 Kb
Сотворение мира (3-х томник)Автор: Петров Аркадий НаумовичКатегория: Путь к себе
Размер книги: 817 Kb
Радиолюбительские схемы на ИС типа 555Автор: Трейстер Р.Категория: Электротехника и связь
Размер книги: 13.64 Mb
Только что пользователи скачали эти книги:
Практики древней Северной Традиции. Книга 1. Приподнимая занавес былогоАвтор: Шерстенников Николай ИвановичКатегория: Эзотерика
Размер книги: 307 Kb
Радиолокационная станция 19Ж6 (СТ-68У). Учебное пособиеАвтор:Категория: Военная техника
Размер книги: 5.50 Mb
Бытовые швейные машиныАвтор: Николаенко А.А., Автор: Червяков Ф.И., Автор: Непряхин А.П., Автор: Дремалин Н.А.
Размер книги: 6.53 Mb
Выбери антенну самАвтор: И. Нестеренко, Автор: А. ЖужевичКатегория: АППАРАТУРА
Размер книги: 5.37 Mb
Using Time, Not Doing Time: Practitioner Perspectives on Personality Disorder and Risk (The Wiley Series in Personality Disorders)Автор: Allison Tennant, Автор: Kevin Howells
Размер книги: 1.39 Mb
The Venture of Islam, Volume 2: The Expansion of Islam in the Middle PeriodsАвтор: Marshall G. S. HodgsonКатегория: Религия
Размер книги: 85.49 Mb
The Design of Rijndael: AES - The Advanced Encryption Standard (Information Security and Cryptography)Автор: Joan Daemen, Автор: Vincent RijmenКатегория: Искусство, Графические виды искусства
Размер книги: 4.09 Mb
|
|
|