ScalingStacks

Theorem 6.6. There is an equivalence of categories

$$\operatorname{DM}^{Spr}_{\operatorname{GL}(\mathbf{d})}(\operatorname{Rep}(\mathbf{d}),\mathbb{Q})\cong\operatorname{D}^{\mathbb{Z}}_{\operatorname{perf}}(A_{\mathbf{d}})$$

between Springer motives with respect to $\mu_{\underline{\mathbf{d}}}:\mathfrak{Q}(\underline{\mathbf{d}})\to\operatorname{Rep}(\mathbf{d})$ for compositions $\underline{\mathbf{d}}\in\operatorname{Comp}(\mathbf{d})$ and the perfect derived category of graded modules of the quiver Schur algebra.