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Author : S. Müller-Stach,C. Peters
Publisher : Cambridge University Press
Page : 314 pages
File Size : 51,7 Mb
Release : 2004-04-20
Category : Mathematics
ISBN : 0521545471
Lecture notes for graduates or researchers wishing to enter this modern field of research.
Author : Phillip Griffiths
Publisher : Princeton University Press
Page : 327 pages
File Size : 44,5 Mb
Release : 1984-06-21
Category : Mathematics
ISBN : 9780691083391
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 : 49,8 Mb
Release : 2009
Category : Algebraic cycles
ISBN : 9780821844946
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 : Mark L. Green,Jacob P. Murre,Claire Voisin
Publisher : Springer
Page : 276 pages
File Size : 47,6 Mb
Release : 2004-09-03
Category : Mathematics
ISBN : 9783540490463
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 : Mark L. Green,Jacob P. Murre,Claire Voisin
Publisher : Springer
Page : 276 pages
File Size : 52,6 Mb
Release : 1994-12-16
Category : Mathematics
ISBN : 354058692X
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 : B. Brent Gordon,James D. Lewis,Stefan Müller-Stach,Shuji Saito,Noriko Yui
Publisher : Springer Science & Business Media
Page : 652 pages
File Size : 45,7 Mb
Release : 2000-02-29
Category : Mathematics
ISBN : 0792361946
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.
Author : Fabrizio Catanese,Hélène Esnault,Alan Huckleberry,Klaus Hulek,Thomas Peternell
Publisher : Springer Science & Business Media
Page : 508 pages
File Size : 47,6 Mb
Release : 2006-09-29
Category : Mathematics
ISBN : 9783540354802
This collection of surveys present an overview of recent developments in Complex Geometry. Topics range from curve and surface theory through special varieties in higher dimensions, moduli theory, Kähler geometry, and group actions to Hodge theory and characteristic p-geometry. Written by established experts this book will be a must for mathematicians working in Complex Geometry
Author : Jan Nagel,Chris Peters
Publisher : Cambridge University Press
Page : 293 pages
File Size : 41,5 Mb
Release : 2007-05-03
Category : Mathematics
ISBN : 9780521701747
This 2007 book is a self-contained account of the subject of algebraic cycles and motives.
Author : Reza Akhtar,Patrick Brosnan,Roy Joshua
Publisher : American Mathematical Soc.
Page : 202 pages
File Size : 50,6 Mb
Release : 2010
Category : Mathematics
ISBN : 9780821851913
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 : Radu Laza,Matthias Schütt,Noriko Yui
Publisher : Springer Science & Business Media
Page : 613 pages
File Size : 46,5 Mb
Release : 2013-06-12
Category : Mathematics
ISBN : 9781461464037
In recent years, research in K3 surfaces and Calabi–Yau varieties has seen spectacular progress from both arithmetic and geometric points of view, which in turn continues to have a huge influence and impact in theoretical physics—in particular, in string theory. The workshop on Arithmetic and Geometry of K3 surfaces and Calabi–Yau threefolds, held at the Fields Institute (August 16-25, 2011), aimed to give a state-of-the-art survey of these new developments. This proceedings volume includes a representative sampling of the broad range of topics covered by the workshop. While the subjects range from arithmetic geometry through algebraic geometry and differential geometry to mathematical physics, the papers are naturally related by the common theme of Calabi–Yau varieties. With the big variety of branches of mathematics and mathematical physics touched upon, this area reveals many deep connections between subjects previously considered unrelated. Unlike most other conferences, the 2011 Calabi–Yau workshop started with 3 days of introductory lectures. A selection of 4 of these lectures is included in this volume. These lectures can be used as a starting point for the graduate students and other junior researchers, or as a guide to the subject.
Author : James C. Robinson,José Luis Rodrigo Diez,Witold Sadowski
Publisher : Cambridge University Press
Page : 275 pages
File Size : 41,7 Mb
Release : 2012-10-18
Category : Mathematics
ISBN : 9781107609259
A selection of surveys and original research papers in mathematical fluid mechanics arising from a 2010 workshop held in Warwick.
Author : Christopher D. Hacon,Mircea Mustaţă,Mihnea Popa
Publisher : Cambridge University Press
Page : 451 pages
File Size : 42,5 Mb
Release : 2015-01-15
Category : Mathematics
ISBN : 9781107647558
A comprehensive collection of expository articles on cutting-edge topics at the forefront of research in algebraic geometry.
Author : S. Alinhac
Publisher : Cambridge University Press
Page : 128 pages
File Size : 44,8 Mb
Release : 2010-05-20
Category : Mathematics
ISBN : 9781139485814
Its self-contained presentation and 'do-it-yourself' approach make this the perfect guide for graduate students and researchers wishing to access recent literature in the field of nonlinear wave equations and general relativity. It introduces all of the key tools and concepts from Lorentzian geometry (metrics, null frames, deformation tensors, etc.) and provides complete elementary proofs. The author also discusses applications to topics in nonlinear equations, including null conditions and stability of Minkowski space. No previous knowledge of geometry or relativity is required.
Author : Bangming Deng,Jie Du,Qiang Fu
Publisher : Cambridge University Press
Page : 217 pages
File Size : 44,5 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781139789936
The theory of Schur–Weyl duality has had a profound influence over many areas of algebra and combinatorics. This text is original in two respects: it discusses affine q-Schur algebras and presents an algebraic, as opposed to geometric, approach to affine quantum Schur–Weyl theory. To begin, various algebraic structures are discussed, including double Ringel–Hall algebras of cyclic quivers and their quantum loop algebra interpretation. The rest of the book investigates the affine quantum Schur–Weyl duality on three levels. This includes the affine quantum Schur–Weyl reciprocity, the bridging role of affine q-Schur algebras between representations of the quantum loop algebras and those of the corresponding affine Hecke algebras, presentation of affine quantum Schur algebras and the realisation conjecture for the double Ringel–Hall algebra with a proof of the classical case. This text is ideal for researchers in algebra and graduate students who want to master Ringel–Hall algebras and Schur–Weyl duality.
Author : Gordon Blower
Publisher : Cambridge University Press
Page : 448 pages
File Size : 47,7 Mb
Release : 2009-10-08
Category : Mathematics
ISBN : 9781139481953
This book focuses on the behaviour of large random matrices. Standard results are covered, and the presentation emphasizes elementary operator theory and differential equations, so as to be accessible to graduate students and other non-experts. The introductory chapters review material on Lie groups and probability measures in a style suitable for applications in random matrix theory. Later chapters use modern convexity theory to establish subtle results about the convergence of eigenvalue distributions as the size of the matrices increases. Random matrices are viewed as geometrical objects with large dimension. The book analyzes the concentration of measure phenomenon, which describes how measures behave on geometrical objects with large dimension. To prove such results for random matrices, the book develops the modern theory of optimal transportation and proves the associated functional inequalities involving entropy and information. These include the logarithmic Sobolev inequality, which measures how fast some physical systems converge to equilibrium.
