Description: Triangulated Categories A 2010 collection of survey articles by leading experts on various aspects of triangulated categories. Thorsten Holm (Edited by), Peter Jørgensen (Edited by), Raphaël Rouquier (Edited by) 9780521744317, Cambridge University Press Paperback / softback, published 24 June 2010 472 pages 22.6 x 15 x 2.5 cm, 0.69 kg 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 2010 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. 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. Subject Areas: Algebra [PBF]
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BIC Subject Area 1: Algebra [PBF]
Item Height: 226mm
Item Width: 150mm
Author: Raphael Rouquier, Thorsten Holm, Peter Jorgensen
Publication Name: Triangulated Categories
Format: Paperback
Language: English
Publisher: Cambridge University Press
Subject: Mathematics
Publication Year: 2010
Type: Textbook
Item Weight: 690g
Number of Pages: 472 Pages