(Michigan, invité de ICJ de 1 mois)
Quiver mutations play important role in definition of cluster algebra and also appeared independently in form of symmetries of some physical theories (Seiberg duality).
Mutation class of a quiver Q is the set of all quivers obtained by a finite sequence of mutations from Q.
In this talk I will discuss quivers with finite mutation class, more exactly, classification result and its application.
This is a joint work with A.Felikson and P.Tumarkin.