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 Ktheory 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 selfcontained 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.) 

1139114557 

113911672X 

1139127381 (electronic bk.) 

9781139107075 (electronic bk.) 

9781139114554 

9781139116725 

9781139127387 (electronic bk.) 
