Triangulated Categories

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. Inhaltsverzeichnis 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.

Dettagli sul prodotto

• Autori: Thorsten Holm, Thorsten Jorgensen Holm
• Con la collaborazione di: Thorsten Holm (Editore), Peter Jorgensen (Editore), Raphael Rouquier (Editore)
• Editore: Cambridge University Press ELT
• Lingue: Inglese
• Formato: Tascabile
• Pubblicazione: 24.06.2010
• EAN: 9780521744317
• ISBN: 978-0-521-74431-7
• Pagine: 472
• Serie: London Mathematical Society Lecture Note Series
• Categoria: Scienze naturali, medicina, informatica, tecnica > Matematica > Aritmetica, algebra