Auslander-Reiten theory in Cluster categories
Gordana Todorov

Abstract: Almost split sequences (also called Auslander-Reiten sequences, or AR sequences) are central to the theory which was developed in the study of module categories over finite dimensional algebras. AR sequences will be defined; representations of quivers will also be defined and used to illustrate the main features of Auslander-Reiten theory.
Cluster categories were introduced as categories which encode many aspects of the cluster combinatorics of cluster algebras in a very natural way. Auslander-Reiten theory on these categories (which are triangulated) will be ralated to some of the exchange formulas in the cluster algebras.