Triangulated Categories

A collection of survey articles by leading experts on various aspects of triangulated categories.

Autorentext
Thorsten Holm is a Professor in the Faculty of Mathematics and Physics at Leibniz Universitat Hannover. Peter Jorgensen is Professor of Mathematics at Newcastle University. Raphael Rouquier is Waynflete Professor of Pure Mathematics in the Mathematical Institute at the University of Oxford.

Klappentext
A 2010 collection of survey articles by leading experts on various aspects of triangulated categories.

Zusammenfassung
A 2010 collection of survey articles by leading experts covering fundamental aspects of triangulated categories, as well as applications in algebraic geometry, representation theory, commutative algebra, microlocal analysis and algebraic topology. This is a valuable reference for experts and a useful introduction for graduate students entering the field.

Inhalt
Preface; Introduction; 1. Cohomology over complete intersections via exterior algebras Luchezar Avramov and Srikanth Iyengar; 2. Cluster algebras, quiver representations and triangulated categories Bernhard Keller; 3. Localization for triangulated categories Henning Krause; 4. Homological algebra in bivariant K-theory and other triangulated categories Ralf Meyer and Ryszard Nest; 5. Derived categories and Grothendieck duality Amnon Neeman; 6. Algebraic versus topological triangulated categories Stefan Schwede; 7. Derived categories and algebraic geometry Raphaël Rouquier; 8. Triangulated categories for the analysts Pierre Schapira; 9. Derived categories of coherent sheaves on algebraic varieties Yukinobu Toda; 10. Rigid dualizing complexes via differential graded algebras Amnon Yekutieli.

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