4 problems

Let $T$ be a torus, let $\mathfrak{t}$ be its Lie algebra, and let $T^{\vee}_{\mathbb{C}}$ be the complex dual torus. Let $\mathrm{BFM}(T^{\vee})$ denote the associated BFN space.…

Let $M$ be a manifold and let $\mathcal{S}$ be a stratification of $M$. Let $\mathrm{Schobers}(M,\mathcal{S})$ denote the $(\infty,2)$-category of schobers on $M$ constructible wit…

Let $M$ be a manifold. Let $\mathrm{LocSysCat}(M)$ denote the $(\infty,2)$-category of local systems of categories on $M$, and let $^{2}\mathrm{Fuk}(\mathrm{T}^{*}[1]M)$ denote the…

Let $B$ be a base manifold, and let $\mathrm{T}^{*}[1]B$ denote its $1$-shifted cotangent bundle. A schober on $B$ is a categorified local system with allowed singularities. Schobe…