ScalingStacks

Theorem (Theorem 6.5). There is an equivalence of categories

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

between the category of Springer motives for representations of $Q$ and the perfect derived category of graded modules of $R_{\mathbf{d}}.$