REPRESENTATION THEORY AND RELATED TOPICS SEMINAR

ABSTRACT: In this talk, we will illustrate an enrichment of the torsion theory of a finite-dimensional associative algebra. In particular, we consider the minimal inclusions between torsion classes, and show that they are encoded by a unique indecomposable representation. In addition, we’ll look at a motivating example to see how these indecomposables can inject extra geometry in the study of the torsion theory of an algebra. This work is joint with Barnard, Speyer, Torodov, and S. Zhu.