In this talk, we will start by introducing quiver representations
and some of their applications.  Then we will review noncommutative crepant
resolutions of singularities of Van den Bergh.  We will find that the notion
of quiver stacks will be useful in unifying geometric and quiver
resolutions.  Finally, we will explain our motivation and construction of
these quiver stacks from a symplectic mirror point of view.