3 problems

Let $G$ be an abelian group of odd order, and let $\mathcal{A}$ be a near-group fusion category of type $(G,|G|)$. Write $\mathcal{Z}(\mathcal{A})$ for its Drinfeld center, let…

Let $\mathcal C$ be a modular fusion category, let $\mathbb A$ be an orbifold datum in the 3-category $\mathcal D_{\mathcal C}$ associated to $\mathcal C$, and let…

Let $p$ and $q$ be the parameters introduced earlier in the paper, and let $\rho_1$ and $\rho_2$ be the corresponding representations. Existence conjecture. There exists a modular…