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Author : Burt Totaro
Release : 2014-06-26
Genre : Mathematics
Kind : eBook
Book Rating : 774/5 ( reviews)
Book Synopsis Group Cohomology and Algebraic Cycles by : Burt Totaro
Download or read book Group Cohomology and Algebraic Cycles written by Burt Totaro. This book was released on 2014-06-26. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a coherent suite of computational tools for the study of group cohomology algebraic cycles.
Author : Spencer Bloch
Release : 2010-07-22
Genre : Mathematics
Kind : eBook
Book Rating : 825/5 ( reviews)
Book Synopsis Lectures on Algebraic Cycles by : Spencer Bloch
Download or read book Lectures on Algebraic Cycles written by Spencer Bloch. This book was released on 2010-07-22. Available in PDF, EPUB and Kindle. Book excerpt: Spencer Bloch's 1979 Duke lectures, a milestone in modern mathematics, have been out of print almost since their first publication in 1980, yet they have remained influential and are still the best place to learn the guiding philosophy of algebraic cycles and motives. This edition, now professionally typeset, has a new preface by the author giving his perspective on developments in the field over the past 30 years. The theory of algebraic cycles encompasses such central problems in mathematics as the Hodge conjecture and the Bloch–Kato conjecture on special values of zeta functions. The book begins with Mumford's example showing that the Chow group of zero-cycles on an algebraic variety can be infinite-dimensional, and explains how Hodge theory and algebraic K-theory give new insights into this and other phenomena.
Author : Rob de Jeu
Release : 2009
Genre : Mathematics
Kind : eBook
Book Rating : 946/5 ( reviews)
Book Synopsis Motives and Algebraic Cycles by : Rob de Jeu
Download or read book Motives and Algebraic Cycles written by Rob de Jeu. This book was released on 2009. Available in PDF, EPUB and Kindle. Book excerpt: Spencer J. Bloch has, and continues to have, a profound influence on the subject of Algebraic $K$-Theory, Cycles and Motives. This book, which is comprised of a number of independent research articles written by leading experts in the field, is dedicated in his honour, and gives a snapshot of the current and evolving nature of the subject. Some of the articles are written in an expository style, providing a perspective on the current state of the subject to those wishing to learn more about it. Others are more technical, representing new developments and making them especially interesting to researchers for keeping abreast of recent progress.
Author : B. Brent Gordon
Release : 2012-12-06
Genre : Mathematics
Kind : eBook
Book Rating : 987/5 ( reviews)
Book Synopsis The Arithmetic and Geometry of Algebraic Cycles by : B. Brent Gordon
Download or read book The Arithmetic and Geometry of Algebraic Cycles written by B. Brent Gordon. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Vladimir Voevodsky
Release : 2000
Genre : Mathematics
Kind : eBook
Book Rating : 150/5 ( reviews)
Book Synopsis Cycles, Transfers, and Motivic Homology Theories. (AM-143) by : Vladimir Voevodsky
Download or read book Cycles, Transfers, and Motivic Homology Theories. (AM-143) written by Vladimir Voevodsky. This book was released on 2000. Available in PDF, EPUB and Kindle. Book excerpt: The original goal that ultimately led to this volume was the construction of "motivic cohomology theory," whose existence was conjectured by A. Beilinson and S. Lichtenbaum. This is achieved in the book's fourth paper, using results of the other papers whose additional role is to contribute to our understanding of various properties of algebraic cycles. The material presented provides the foundations for the recent proof of the celebrated "Milnor Conjecture" by Vladimir Voevodsky. The theory of sheaves of relative cycles is developed in the first paper of this volume. The theory of presheaves with transfers and more specifically homotopy invariant presheaves with transfers is the main theme of the second paper. The Friedlander-Lawson moving lemma for families of algebraic cycles appears in the third paper in which a bivariant theory called bivariant cycle cohomology is constructed. The fifth and last paper in the volume gives a proof of the fact that bivariant cycle cohomology groups are canonically isomorphic (in appropriate cases) to Bloch's higher Chow groups, thereby providing a link between the authors' theory and Bloch's original approach to motivic (co-)homology.
