The Arithmetic And Geometry Of Algebraic Cycles

Author : B. Brent Gordon,James D. Lewis,Stefan Müller-Stach,Shuji Saito,Noriko Yui
Publisher : Springer Science & Business Media
Page : 631 pages
File Size : 46,8 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9789401140980

Get Book

The Arithmetic and Geometry of Algebraic Cycles by B. Brent Gordon,James D. Lewis,Stefan Müller-Stach,Shuji Saito,Noriko Yui Pdf

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 : Reza Akhtar,Patrick Brosnan,Roy Joshua
Publisher : American Mathematical Soc.
Page : 202 pages
File Size : 45,7 Mb
Release : 2010
Category : Mathematics
ISBN : 9780821851913

Get Book

The Geometry of Algebraic Cycles by Reza Akhtar,Patrick Brosnan,Roy Joshua Pdf

The subject of algebraic cycles has its roots in the study of divisors, extending as far back as the nineteenth century. Since then, and in particular in recent years, algebraic cycles have made a significant impact on many fields of mathematics, among them number theory, algebraic geometry, and mathematical physics. The present volume contains articles on all of the above aspects of algebraic cycles. It also contains a mixture of both research papers and expository articles, so that it would be of interest to both experts and beginners in the field.

Author : B. Brent Gordon
Publisher : Unknown
Page : 432 pages
File Size : 43,8 Mb
Release : 2000
Category : Algebraic cycles
ISBN : 1470439387

Get Book

The Arithmetic and Geometry of Algebraic Cycles by B. Brent Gordon Pdf

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.

Author : B. Brent Gordon
Publisher : Unknown
Page : 432 pages
File Size : 43,7 Mb
Release : 2000
Category : Electronic
ISBN : 0821819542

Get Book

The arithmetic and geometry of algebraic cycles : proceedings of the CRM Summer School June 7 - 19, 1998, Banff, Alberta, Canada by B. Brent Gordon Pdf

Author : Jan Nagel,Chris Peters
Publisher : Unknown
Page : 292 pages
File Size : 47,8 Mb
Release : 2007
Category : Algebraic cycles
ISBN : 1107365430

Get Book

Algebraic Cycles and Motives by Jan Nagel,Chris Peters Pdf

Algebraic geometry is a central subfield of mathematics in which the study of cycles is an important theme. Alexander Grothendieck taught that algebraic cycles should be considered from a motivic point of view and in recent years this topic has spurred a lot of activity. This 2007 book is one of two volumes that provide a self-contained account of the subject. Together, the two books contain twenty-two contributions from leading figures in the field which survey the key research strands and present interesting new results. Topics discussed include: the study of algebraic cycles using Abel-Jacobi/regulator maps and normal functions; motives (Voevodsky's triangulated category of mixed motives, finite-dimensional motives); the conjectures of Bloch-Beilinson and Murre on filtrations on Chow groups and Bloch's conjecture. Researchers and students in complex algebraic geometry and arithmetic geometry will find much of interest here.

Author : Piotr Pragacz
Publisher : Springer Science & Business Media
Page : 236 pages
File Size : 43,6 Mb
Release : 2008-03-12
Category : Mathematics
ISBN : 3764385375

Get Book

Algebraic Cycles, Sheaves, Shtukas, and Moduli by Piotr Pragacz Pdf

Articles examine the contributions of the great mathematician J. M. Hoene-Wronski. Although much of his work was dismissed during his lifetime, it is now recognized that his work offers valuable insight into the nature of mathematics. The book begins with elementary-level discussions and ends with discussions of current research. Most of the material has never been published before, offering fresh perspectives on Hoene-Wronski’s contributions.

Author : B. Brent Gordon
Publisher : American Mathematical Soc.
Page : 468 pages
File Size : 46,9 Mb
Release : 2000-01-01
Category : Mathematics
ISBN : 0821870203

Get Book

The Arithmetic and Geometry of Algebraic Cycles by B. Brent Gordon Pdf

From the June 1998 Summer School come 20 contributions that explore algebraic cycles (a subfield of algebraic geometry) from a variety of perspectives. The papers have been organized into sections on cohomological methods, Chow groups and motives, and arithmetic methods. Some specific topics include logarithmic Hodge structures and classifying spaces; Bloch's conjecture and the K-theory of projective surfaces; and torsion zero-cycles and the Abel-Jacobi map over the real numbers.

Author : Jean-Louis Colliot-Thelene,Kazuya Kato,Paul Vojta
Publisher : Springer
Page : 218 pages
File Size : 45,6 Mb
Release : 2006-11-15
Category : Mathematics
ISBN : 9783540479093

Get Book

Arithmetic Algebraic Geometry by Jean-Louis Colliot-Thelene,Kazuya Kato,Paul Vojta Pdf

This volume contains three long lecture series by J.L. Colliot-Thelene, Kazuya Kato and P. Vojta. Their topics are respectively the connection between algebraic K-theory and the torsion algebraic cycles on an algebraic variety, a new approach to Iwasawa theory for Hasse-Weil L-function, and the applications of arithemetic geometry to Diophantine approximation. They contain many new results at a very advanced level, but also surveys of the state of the art on the subject with complete, detailed profs and a lot of background. Hence they can be useful to readers with very different background and experience. CONTENTS: J.L. Colliot-Thelene: Cycles algebriques de torsion et K-theorie algebrique.- K. Kato: Lectures on the approach to Iwasawa theory for Hasse-Weil L-functions.- P. Vojta: Applications of arithmetic algebraic geometry to diophantine approximations.

Author : Spencer Bloch
Publisher : Cambridge University Press
Page : 155 pages
File Size : 50,8 Mb
Release : 2010-07-22
Category : Mathematics
ISBN : 9781139487825

Get Book

Lectures on Algebraic Cycles by Spencer Bloch Pdf

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 : Matt Kerr,Gregory Pearlstein
Publisher : Cambridge University Press
Page : 533 pages
File Size : 53,7 Mb
Release : 2016-02-04
Category : Mathematics
ISBN : 9781107546295

Get Book

Recent Advances in Hodge Theory by Matt Kerr,Gregory Pearlstein Pdf

Combines cutting-edge research and expository articles in Hodge theory. An essential reference for graduate students and researchers.

Author : Phillip Griffiths
Publisher : Princeton University Press
Page : 327 pages
File Size : 55,9 Mb
Release : 1984-06-21
Category : Mathematics
ISBN : 9780691083391

Get Book

Topics in Transcendental Algebraic Geometry by Phillip Griffiths Pdf

A classic treatment of transcendental algebraic geometry from the acclaimed Annals of Mathematics Studies series Princeton University Press is proud to have published the Annals of Mathematics Studies since 1940. One of the oldest and most respected series in science publishing, it has included many of the most important and influential mathematical works of the twentieth century. The series continues this tradition as Princeton University Press publishes the major works of the twenty-first century. To mark the continued success of the series, all books are available in paperback and as ebooks.

Author : Rob de Jeu,James Dominic Lewis
Publisher : American Mathematical Soc.
Page : 354 pages
File Size : 45,9 Mb
Release : 2009
Category : Algebraic cycles
ISBN : 9780821844946

Get Book

Motives and Algebraic Cycles by Rob de Jeu,James Dominic Lewis Pdf

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 : Jan Nagel,Chris Peters
Publisher : Cambridge University Press
Page : 293 pages
File Size : 46,8 Mb
Release : 2007-05-03
Category : Mathematics
ISBN : 9780521701747

Get Book

Algebraic Cycles and Motives: Volume 1 by Jan Nagel,Chris Peters Pdf

This 2007 book is a self-contained account of the subject of algebraic cycles and motives.

Author : Mark L. Green,Jacob P. Murre,Claire Voisin
Publisher : Springer
Page : 276 pages
File Size : 55,5 Mb
Release : 2004-09-03
Category : Mathematics
ISBN : 9783540490463

Get Book

Algebraic Cycles and Hodge Theory by Mark L. Green,Jacob P. Murre,Claire Voisin Pdf

The main goal of the CIME Summer School on "Algebraic Cycles and Hodge Theory" has been to gather the most active mathematicians in this area to make the point on the present state of the art. Thus the papers included in the proceedings are surveys and notes on the most important topics of this area of research. They include infinitesimal methods in Hodge theory; algebraic cycles and algebraic aspects of cohomology and k-theory, transcendental methods in the study of algebraic cycles.

Author : Jan Nagel,Chris Peters
Publisher : Unknown
Page : 359 pages
File Size : 44,5 Mb
Release : 2007
Category : Algebraic cycles
ISBN : 1139882716

Get Book

Algebraic Cycles and Motives by Jan Nagel,Chris Peters Pdf