Representations of Algebras, Geometry and Physics
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: 2021; Volume 769
ISBNs: 978-1-4704-5230-8 (print); 978-1-4704-6425-7 (online)
This volume contains selected expository lectures delivered at the 2018 Maurice Auslander Distinguished Lectures and International Conference, held April 25–30, 2018, at the Woods Hole Oceanographic Institute, Woods Hole, MA.
Reflecting recent developments in modern representation theory of algebras, the selected topics include an introduction to a new class of quiver algebras on surfaces, called “geodesic ghor algebras”, a detailed presentation of Feynman categories from a representation-theoretic viewpoint, connections between representations of quivers and the structure theory of Coxeter groups, powerful new applications of approximable triangulated categories, new results on the heart of a $t$-structure, and an introduction to methods of constructive category theory.
Graduate students and research mathematicians interested in representations of algebras and related topics in category theory, algebraic geometry, and quantum physics.
Table of Contents
- Karin Baur and Charlie Beil – Examples of geodesic ghor algebras on hyperbolic surfaces
- Ralph M. Kaufmann – Feynman categories and representation theory
- Mark Kleiner – Preprojective roots and graph monoids of Coxeter groups
- Amnon Neeman – Approximable triangulated categories
- Sebastian Posur – Methods of constructive category theory
- Carlos E. Parra and Manuel Saorín – The HRS tilting process and Grothendieck hearts of t-structures