2 problems

Lê–Yu's conjecture. The Azumaya locus of $\mathcal{S}_A(\Sigma_g)$ should be the smooth locus of $\mathcal{X}_{\operatorname{SL}_2}(\Sigma_g)$. This conjecture is disproved by the…

Let $\Sigma_g$ be a closed oriented surface of genus $g$, with $g\geq 2$, and let $\xi$ be a root of $1$. Consider the stated skein algebra $\mathscr S_\xi(\Sigma_g)$ and its cente…