6 problems

Let ${\mathsf{RigidCat}}_n$ denote the category of rigid symmetric monoidal $n$-categories, let $O_n$ act on it through the action supplied by the adjoint-category conjecture, and…

Let $\mathcal{C}$ be a symmetric monoidal $(\infty,n)$-category with duals. A framed extended $n$-dimensional TFT valued in $\mathcal{C}$ is a symmetric monoidal functor from the f…

Let $d\geq 0$. Consider the homotopy actions of the relevant orthogonal groups on the indicated higher categories of vector spaces. Framing-action triviality conjecture. The homoto…

Let $SO(2)$ act on the symmetric monoidal bicategory $\mathbb{F}_{cfd}$ of framed two-dimensional bordisms with fully dualizable objects. Write $(\mathbb{F}_{cfd})_{SO(2)}$ for the…

Let $m\geq 0$, and let ${\rm Bord}^{G}(n)$ denote the symmetric monoidal bordism $(\infty,n)$-category with $G$-structure. Let $(m+n)\text{-}\mathrm{Vect}$ be the symmetric monoida…

Let $\mathscr{C}$ be a symmetric monoidal infinity $n$-category. A fully dualizable object of $\mathscr{C}$ is an object satisfying the dualizability conditions at every categorica…