3 problems

Canonical-weight criterion conjecture. Up to $\operatorname{SL}(2,\mathbb{Z})$, the condition

Consistency and perfect-matching conjecture. A brane tiling is consistent if and only if the corresponding toric diagram has maximally tempered coefficients for its boundary points…

Let $G$ be a consistent brane tiling, let $(Q,W)$ be the corresponding quiver with potential, and let $A=\mathbb{C}Q/(\partial W)$ be its quiver-potential algebra. Fix a vertex…