3 problems

Let $X=\mathbb{V}(f,\det-1)$, where $f$ has degree $d$. Assume that $\mathrm{In}_\nu(X)$ is given by the additional equation $f$, that $f$ has exactly $d$ positive tropical roots c…

Monodromy-compatibility conjecture. The diagram with horizontal maps $\psi$, vertical maps $\xi_\eta$ and $\mathcal T\xi_\eta$, and the corresponding map $\psi$ on the bottom commu…

Simple-polytope lower-interval conjecture. For each element $(\sigma,J)\in\mathcal W$, the lower interval $\mathcal W_{\preceq(\sigma,J)}$ is isomorphic to the face lattice of a si…