4 problems

Let $\Omega\subset\mathbb R^2$ be a bounded, strictly convex domain, and let $\mathbb T_t$ be the flow by curvature of an embedded triod in $\Omega$. Assume that the lengths of the…

Let $\mathbb T^\infty_{\mathfrak t}$ be an eternal evolution by curvature of an unbounded embedded triod, curve, or curve with a single endpoint. Translation conjecture. The triods…

Let $\mathbb T^\infty_{\mathfrak t}$ be an eternal evolution by curvature of an unbounded embedded triod, curve, or curve with a single endpoint, and let its curvature be defined a…

Tropical multiple Horn conjecture. For sufficiently large networks $\Pi_1,\Pi_2,\Pi_3$, for example standard networks, these conditions are necessary and sufficient. Equivalently,…