Title: Cluster Automorphisms

Abstract: Fomin and Zelevinsky defined and studied cluster algebras in a systematic way. A cluster algebra is not just simply an algebra. It contains a distinguished set of generators. It is this set of generators, called cluster variables that have significant properties with applications in many areas of mathematics. In this talk, I will discuss what it should mean for two cluster algebras to be isomorphic and how the automorphisms are determined. This is a joint work with my student, Ibrahim Saleh.