Parahoric motivic Hecke categories in equal and mixed characteristic
We study constructible $\mathbb{Z}[\tfrac{1}{p}]$-linear \'etale motives on parahoric Hecke stacks associated with quasi-split tamely ramified reductive groups. We prove a canonical equivalence between their equal-characteristic and Witt-vector incarnations that is monoidal with respect to convolution. This extends Ban...