TITLE: quiver mutation
QUESTION [8 upvotes]: Hello to all,
The phrase "quiver mutation has been invented by Fomin and Zelevinsky and has found numerous applications throughout mathematics and physics" is one that some of us encountered on a near-daily basis. I personally know only of a few applications. I thus propose the following thread: how have you used quiver mutation in your area of expertise ?

REPLY [5 votes]: To the best of my understanding an exceptional collection of elements in $\mathcal{D}(X)$ determines a quiver - and quiver mutations come to represent  corresponding mutations among the elements of the collection, as developed by Rudakov et. al. (vertices of the quiver). In this context, there is a beautiful construction due to P. Seidel - on the mirror analog of such mutations in the Fukaya category