Surveys in Representation Theory of Algebras
About this Title
Alex Martsinkovsky, Northeastern University, Boston, MA, Kiyoshi Igusa, Brandeis University, Waltham, MA and Gordana Todorov, Northeastern University, Boston, MA, Editors
Publication: Contemporary Mathematics
Publication Year: 2018; Volume 716
ISBNs: 978-1-4704-3679-7 (print); 978-1-4704-4903-2 (online)
This volume contains selected expository lectures delivered at the annual Maurice Auslander Distinguished Lectures and International Conference over the last several years.
Reflecting the diverse landscape of modern representation theory of algebras, the selected articles include: a quick introduction to silting modules; a survey on the first decade of co-t-structures in triangulated categories; a functorial approach to the notion of module; a representation-theoretic approach to recollements in abelian categories; new examples of applications of relative homological algebra; connections between Coxeter groups and quiver representations; and recent progress on limits of approximation theory.
Graduate students and research mathematicians interested in functor categories, triangulated categories, module theory, homological algebras, and combinatorial methods in representation theory of quivers.
Table of Contents
- Lidia Angeleri Hügel – On the abundance of silting modules
- Peter Jørgensen – Co-t-structures: The first decade
- Mike Prest – Modules as exact functors
- Chrysostomos Psaroudakis – A representation-theoretic approach to recollements of abelian categories
- Øyvind Solberg – Going relative with Maurice—A survey
- Hugh Thomas – Coxeter groups and quiver representations
- Jan Trlifaj – Tree modules and limits of the approximation theory