3 problems

Simplicity conjecture. The algebra $\cA_0$ is simple.

Let $Y$ be a conical symplectic singularity, let $\lambda,\lambda'\in\mathfrak{h}_Y^*$, and let $\overline{\operatorname{HC}}(\mathcal{A}_{\lambda'},\mathcal{A}_{\lambda})$ denote…

Let $Y=\mathbb{C}^2/\Gamma$, where $\Gamma$ is a finite subgroup of $\operatorname{SL}_2(\mathbb{C})$, and let $\mathfrak{h}_\Gamma^*$ be the Cartan space associated with the ADE t…