arXiv subjects
Publications and source records attributed to Thiago Landim.
We prove an integral version of the derived Springer correspondence for reduced motives. To achieve this result, we extend some results on reduced motives from schemes to quotient stacks with a finite number of orbits. More generally, we work in the context of the Springer setup, as defined by Eberhardt and Stroppel, which has also applications for quiver Hecke algebras.
We construct the Chow weight structure on a full subcategory of the category of $\mathrm{K}$-motives over a tame quotient stack in characteristic zero as defined by Hoyois. We also prove that in a quite general case, this full subcategory is exactly the category of geometric $\mathrm{K}$-motives. We apply this to give a partial Springer decomposition in the context of $\mathrm{K}$-motives.