Representation type of cyclotomic quiver Hecke algebras

Determining the representation type of an algebra is a fundamental problem in representation theory. In this talk, we address this problem for cyclotomic quiver Hecke algebras, also known as cyclotomic Khovanov–Lauda–Rouquier algebras, in affine type A. Our approach consists of two main steps. First, we reduce the high-level problem to lower-level cases using a quiver model. Second, we construct explicit quiver presentations for these lower-level cases and classify their representation types. This talk will mainly focus on the second step and serve as an introduction to quiver representation theory.