3 problems

Let $U$ be a subset of $\mathbb C^2$, and let the Cauchy completion denote the additive and idempotent completion. Quantum semisimplicity conjecture. There is an open dense subset…

Let $U$ be a subset of $\mathbb C$, and let the Cauchy completion mean the additive and idempotent completion of a category. Classical semisimplicity conjecture. There is a dense s…

Let $C$ be a premodular category and let $\Sigma$ be a $2$-fold. Define the additive category $cy_{\Sigma}(C)$ whose objects are collections of $C$-colored points and tangent vecto…