Triangulated Categories

Copertina anteriore
Thorsten Holm, Peter Jørgensen, Raphaël Rouquier
Cambridge University Press, 24 giu 2010
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.
 

Sommario

Cohomology over complete intersections via exterior algebras
52
Cluster algebras quiver representations and triangulated
76
Localization theory for triangulated categories
161
Homological algebra in bivariant Ktheory and other
236
Derived categories and Grothendieck duality
290
Derived categories and algebraic geometry
351
Triangulated categories for the analysts
371
Algebraic versus topological triangulated categories
389
Derived categories of coherent sheaves on algebraic varieties
408
Rigid dualizing complexes via differential graded algebras
452
Copyright

Altre edizioni - Visualizza tutto

Parole e frasi comuni

Informazioni sull'autore (2010)

Thorsten Holm is a Professor in the Faculty of Mathematics and Physics at Leibniz Universität Hannover.

Peter Jørgensen is Professor of Mathematics at Newcastle University.

Raphaël Rouquier is Waynflete Professor of Pure Mathematics in the Mathematical Institute at the University of Oxford.

Informazioni bibliografiche