3 problems

Let a finite-type cluster algebra be given, and let an $F$-polynomial be one of its cluster-algebra $F$-polynomials. Its Newton polytope is the convex hull of the exponent vectors…

Let $\mathcal{H}$ be a hyperplane arrangement and let $\mathsf{B}$ be a base region such that the poset of regions $\mathsf{PR}(\mathcal{H},\mathsf{B})$ is a congruence-uniform lat…

Let a $B$-arc be an arc in the type $B$ model, and let $\shardPolytope[\beta]$ denote its shard polytope. Minkowski indecomposability conjecture. For any $B$-arc $\beta$, the shard…