Representations of Algebras, Geometry and Physics

ISBN-13: 9781470452308

Kiyoshi Igusa;Alex Martsinkovsky;Gordana Todorov

Opis

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.

Spis treści

• K. Baur and C. Beil, Examples of geodesic ghor algebras on hyperbolic surfaces
• R. M. Kaufmann, Feynman categories and representation theory
• M. Kleiner, Preprojective roots and graph monoids of Coxeter groups
• A. Neeman, Approximable triangulated categories
• S. Posur, Methods of constructive category theory
• C. E. Parra and M. Saorin, The HRS tilting process and Grothendieck hearts of t-structures