Five lectures on cluster theory

Abstract

In this paper, we will present the author's interpretation and embellishment of five lectures on cluster theory given by Kiyoshi Igusa during the Spring semester of 2022 at Brandeis University. They are meant to be used as an introduction to cluster theory from a representation-theoretic point of view.

Keywords

• clusters
• tilting modules
• 2-term silting complex
• quiver grassmannian