5 problems

Anderson–Mirković conjecture. For every MV polytope $P$ and every $j\in I$, $AM_j(P)$ is an MV polytope and

Mirković–Vilonen's inductive construction conjecture. There is an inductive construction of the polytopes $P_\phi$ for any semisimple group.

Let $Q$ be an MV polytope of type $A$, and let $Q(\theta_I)$ denote the Schubert matroid polytope associated with $I\subseteq [n]$. For collections…

Critical-resonance conjecture. If

Boundary-polynomial conjecture.