5 problems

Integral trace conjecture. We have

Let $\Bbbk$ be the ground field and let $\mathfrak{U}_{q,\pi}$ denote the odd categorified quantum group. Consider the particular Hom spaces displayed immediately after this statem…

Let $\mathfrak{U}_{q,\pi}$ be the odd categorified quantum group, let $x$ and $y$ be arbitrary 1-morphisms, and consider the spaces $\operatorname{Hom}_{\mathfrak{U}_{q,\pi}}(x,y)$…

Annular web evaluation conjecture. There is an equivalence of categories

Distinct-extension conjecture. Any such extension decategorifies an extension of the ground field as above, and if $\mathcal{A}$ and $\mathcal{A}'$ are distinct sub-Hopf algebras,…