Representation Theory and Beyond (Paperback)

Paperback. It presents several themes of contemporary representation theory together with some new tools, such as stable ?-categories, stable derivators, and contramodules. In the first part, expanded lecture notes of four courses delivered at the workshop are presented, covering the representation theory of finite sets with correspondences, geometric theory of quiver Grassmannians, recent applications of contramodules to tilting theory, as well as symmetries in the representation theory over an abstract stable homotopy theory.The second part consists of six more-advanced papers based on plenary talks of the conference, presenting selected topics from contemporary representation theory: recollements and purity, maximal green sequences, cohomological Hall algebras, Hochschild cohomology of associative algebras, cohomology of local selfinjective algebras, and the higher AuslanderReiten theory studied via homotopy theory. Presents several themes of contemporary representation theory together with some new tools, such as stable ?-categories, stable derivators, and contramodules. Coverage includes the representation theory of finite sets with correspondences, geometric theory of quiver Grassmannians, recollements and purity, and maximal green sequences. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.…