Representations of Algebras, Geometry and Physics

Presents selected expository lectures delivered at the 2018 Maurice Auslander Distinguished Lectures and International Conference, held in April 2018. Topics include an introduction to a new class of quiver algebras on surfaces called ‘geodesic ghor algebras’, and a presentation of Feynman categories from a representation-theoretic viewpoint.

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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.