Expository Lectures on Representation Theory
About this Title
Kiyoshi Igusa, Brandeis University, Waltham, MA, Alex Martsinkovsky, Northeastern University, Boston, MA and Gordana Todorov, Northeastern University, Boston, MA, Editors
Publication: Contemporary Mathematics
Publication Year 2014: Volume 607
ISBNs: 978-0-8218-9140-7 (print); 978-1-4704-1441-2 (online)
This volume contains the proceedings of the Maurice Auslander Distinguished Lectures and International Conference, held April 25–30, 2012, in Falmouth, MA.
The representation theory of finite dimensional algebras and related topics, especially cluster combinatorics, is a very active topic of research. This volume contains papers covering both the history and the latest developments in this topic. In particular, Otto Kerner gives a review of basic theorems and latest results about wild hereditary algebras, Yuri Berest develops the theory of derived representation schemes, and Markus Schmidmeier presents new applications of arc diagrams.
Graduate students and research mathematicians interested in representation theory and related topics.
Table of Contents
- B. Huisgen-Zimmermann – Fine and coarse moduli spaces in the representation theory of finite dimensional algebras
- Otto Kerner – More Representations of Wild Quivers
- Ivo Herzog – Phantom Morphisms and Salce's Lemma
- Kunio Yamagata and Otto Kerner – Morita theory, revisited
- Frauke M. Bleher – Universal deformation rings of group representations, with an application of Brauer's generalized decomposition numbers
- Yuri Berest, Giovanni Felder and Ajay Ramadoss – Derived Representation Schemes and Noncommutative Geometry
- Aslak Bakke Buan – Classifying torsion pairs for tame hereditary algebras and tubes
- Claudia Chaio – Problems solved by using degrees of irreducible morphisms
- Justyna Kosakowska and Markus Schmidmeier – Arc diagram varieties