2 problems

Strong cluster-map conjecture. For every $w\in W$, the coordinate ring $\mathbb{C}[U^w]$ is a cluster algebra modelled by the strong cluster map $\varphi_w$ for the standard compon…

Berenstein–Zelevinsky's twist conjecture. Under the hypotheses of the commutation lemma, the restriction of $\hat\eta_\mathbf{i}$ to $\mathcal U_\mathbf{i}$ is an isomorphism of al…