the mckay correspondence takes many guises but at its core connects the geometry of minimal resolutions for quotient singularities $c^n / g$ to the representation theory of the group $g$. when $g$ is an abelian subgroup of $sl(3)$, craw-ishii showed that every minimal resolution can be realised as a moduli space of stable quiver representations naturally associated to $g$, although the chamber structure for the stability parameter and associated wall-crossing behaviour is poorly understood. i will describe my recent work giving explicit representation-theoretic descriptions of the walls and wall-crossing behaviour for the chamber corresponding to a particular minimal resolution called the g-hilbert scheme. time permitting, i will also discuss ongoing work with yukari ito (ipmu) and tom ducat (bristol) to better understand the geometry, chambers, and corresponding representation theory for other minimal resolutions.