6 problems

Let $X$ be a smooth projective $K3$ surface and let $\mathcal{C}=D^b(\operatorname{Coh}(X))$. Write $\phi$ for a weak Calabi–Yau structure, $s^{\sf BT}$ for the specified splitting…

Let $X$ be a compact symplectic manifold of real dimension $2d$, let $\mathcal{C}=\operatorname{\mathsf{Fuk}}(X)$, and let…

Let $M$ be a Weinstein manifold with nonzero wrapped Fukaya category ${\mathcal W}(M)$, and let $\operatorname{\gamma}_M$ denote its categorical growth; alternatively, let…

Let $\mathcal{C}$ be the braided finite tensor category under consideration, let $\Omega_{\mathcal{C}}$ be the matrix associated with the pairing in Equation, and let…

Modular-data classification conjecture. The $(S,T)$ matrices classify all modular categories.

Let $M$ be a multigraph, and let $\mathbf{TCircD}_M$ be the free braided strict monoidal category on $M$ in which each object of $M$ is equipped with a symmetric Frobenius algebra…