McKay's crepant-resolution conjecture

Let $V$ be a finite-dimensional vector space over a field $k$, and let $E$ be a finite subgroup of $\operatorname{GL}(V)$ whose order is invertible in $k$. A crepant resolution is a resolution $X\to V/E$ preserving the canonical class. McKay's crepant-resolution conjecture. If $X\to V/E$ is a crepant resolution, then

$$D^b(X)\simeq D^b_E(V).$$

Here $D^b_E(V)$ denotes the bounded equivariant derived category. The conjecture is the derived-category form of the independence of the crepant resolution and connects finite-group representation theory with birational geometry. The source gives no resolution.