8 problems

Let $N$ be a compact $C^infty$-manifold, let $\mathscr{X}=T^*N$, and let $I$ be an open interval containing $0$. For a Hamiltonian symplectic isotopy…

Let $X$ and $Y$ be manifolds, let $\Lambda$ and $\Sigma$ be conic conditions defining the relevant microsupported sheaf categories, and let $L \in \Sh(X \times Y)$ be a constructib…

Let $X$ and $Y$ be manifolds, let $[?]$ be conic subsets specifying the microsupported sheaf categories, and let $K \in \Sh_{-\Lambda \times \Sigma}(X \times Y)$ be a sheaf kernel.…

Let $L$ be an exact Lagrangian cobordism in $Y\times\mathbb{R}$ from Legendrians $\Lambda_-$ to $\Lambda_+$, and let $\widetilde{L}$ be its lift to a Legendrian cobordism in…

Let $\Lambda\subset T^{*,\infty}_{\tau>0}(M\times\mathbb{R})$, and let $\mathscr{F},\mathscr{G}\in Sh^b_\Lambda(M\times\mathbb{R})$ be compactly supported sheaves. The duality theo…

Sheaf-theoretic Reeb chord bound conjecture. By combining the authors' technique with Asano--Ike's technique, the existence of such a sheaf should imply analogous results for Reeb…

Let $X$ be the manifold under consideration, let $I$ be an interval with coordinate $t$, and let $\mathcal{D}_{{\rm adm}}^b({\bf k}_{X \times X \times I})$ denote the relevant admi…

Local finiteness generation conjecture. If