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Title Triangulated categories / edited by Thorsten Holm, Peter Jørgensen, Raphaël Rouquier
Published Cambridge ; New York : Cambridge University Press, 2010
Online access available from:
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Description 1 online resource (vii, 463 pages) : illustrations
Series London Mathematical Society lecture note series ; 375
London Mathematical Society lecture note series ; 375
Contents Triangulated categories : definitions, properties, and examples / Thorsten Holm and Peter Jørgensen -- Cohomology over complete intersections via exterior algebras / Luchezar L. Avramov and Srikanth B. Iyengar -- Cluster algebras, quiver representations and triangulated categories / Bernhard Keller -- Localization theory for triangulated categories / Henning Krause -- Homological algebra in bivariant K-theory and other triangulated categories. I / Ralf Meyer and Ryszard Nest -- Derived categories and Grothendieck duality / Amnon Neeman -- Derived categories and algebraic geometry / Raphaël Rouquier -- Triangulated categories for the analysts / Pierre Schapira -- Algebraic versus topological triangulated categories / Stefan Schwede -- Derived categories of coherent sheaves on algebraic varieties / Yukinobu Toda -- Rigid dualizing complexes via differential graded algebras (survey) / Amnon Yekutieli
Summary "Over the last few decades triangulated categories have become increasingly important, to the extent that they can now be viewed as a unifying theory underlying major parts of modern mathematics. This collection of survey articles, written by leading experts, covers fundamental aspects of triangulated categories, as well as applications in algebraic geometry, representation theory, commutative algebra, microlocal analysis and algebraic topology. These self-contained articles are a useful introduction for graduate students entering the field and a valuable reference for experts"--Provided by publisher
"This volume grew out of a Workshop on Triangulated Categories held at the University of Leeds in August 2006. The meeting, a Satellite of the International Congress of Mathematicians 2006, has been generously supported by the Leverhulme Foundation (via the network Algebras, Representations and Applications), the London Mathematical Society (Conference Grant Ref. 1438) and the University of Leeds. Over the past decades, triangulated categories have made their way into many different parts of mathematics, to the extent that today, they can be viewed as a unifying theory underlying major parts of modern mathematics. The Leeds workshop has brought together researchers from many parts of mathematics who all use triangulated methods but would not usually meet at more specialized conferences, with the aim to promote cross fertilization leading to new applications of triangulated categories. The present book collects surveys by leading experts reflecting a broad range of important topics covered at the workshop. However, it is not a proceedings volume recording precisely the talks given at the conference and it does not claim to be a comprehensive coverage of all the numerous applications of triangulated categories throughout mathematics"--Provided by publisher
Analysis Triangulated categories
Bibliography Includes bibliographical references
Notes Print version record
Subject Triangulated categories.
Form Electronic book
Author Holm, Thorsten, 1965-
Jørgensen, Peter, 1970-
Rouquier, Raphaël.
ISBN 1139107070 (electronic bk.)
1139127381 (electronic bk.)
9781139107075 (electronic bk.)
9781139127387 (electronic bk.)