4 problems

Tropical discriminant conjecture. For any point configuration $A$, the tropical discriminant $\tau(X_A^*)$ is a union of cones in the secondary fan $\Sigma(A)$.

Let $\mathbf{w} in \mathcal{V}$, and consider the flip graph whose vertices are the regular triangulations of the order polytope $\mathcal{O}(Q_{\mathbf{w}})$. Let $k$ denote the d…

Let $\mathbf{w} in \mathcal{V}$, and let $\mathcal{O}(Q_{\mathbf{w}})$ be the order polytope associated with the generalized snake poset. Its secondary polytope has vertices corres…

Let $\mathcal{A}$ be a point configuration, let $\mathcal{V}$ be its associated vector configuration, and let $\Upsigma_{\mathcal{A},k}$ be the higher secondary polytope defined us…