4 problems

Let $\operatorname{DQM}_{\operatorname{gm}}(F;\mathbb{Z})$ denote the category of geometric motives generated by smooth projective quadrics over a real closed field $F$ with integr…

Let $F$ be a real closed field, and write $\operatorname{DATM}_{\operatorname{gm}}(F;\mathbb{Q})$ for the triangulated category of geometric Artin–Tate motives over $F$ with ration…

Thread-set conjecture. Let ${\mathbb{A}}$ and ${\mathbb{B}}$ be tuples of subsets of $\operatorname{Spc}({\mathcal{T}}^c)$. If they have the same thread sets, then there is a canon…

Let $\mathbf T$ be a finite tensor category, let $\underline{\mathbf T}$ be its stable category, and let … be the surjective continuous map from Theorem B. Vashaw–Yakimov's conject…