3 problems

Classification conjecture. Theorem classification is in fact a classification of module categories for $\mathcal{C}^m$; equivalently, every module category for $\mathcal{C}^m$ is e…

Trivalent cell-system conjecture. The trivalent cell system in any canonical module category with nimrep graph $\sigma_{2m}$ is equivalent to one of those presented in the classifi…

Let $\mathcal{G}$ be an $SU(3)$ $N$-$M$ nimrep graph realised by a type I inclusion, other than the graphs $\mathcal{A}^{(m)}$ and $\mathcal{D}^{(3k)}$. For these latter graphs, th…