4 problems

Let a Lagrangian mean curvature flow start from embedded initial data, and suppose that it becomes immersed before its singular time. Embeddedness-loss conjecture. The flow must ha…

Let $T_1,T_2,\ldots$ be the candidate singular times associated with a Lagrangian mean curvature flow as in Theorem C. First-candidate conjecture. A type I singularity can occur on…

Let $M$ be a Calabi–Yau manifold and let $\Sigma$ be a compact embedded Lagrangian submanifold with zero Maslov class. Simplified Thomas–Yau conjecture. The mean curvature flow of…

Let $(M^{2n},\omega,J,\Omega)$ be a Calabi–Yau manifold, and let $L\subseteq M$ be a zero-Maslov-class, almost-calibrated Lagrangian. Suppose that $L$ is flow-stable, meaning that,…