First-candidate conjecture for type I singularities in Lagrangian mean curvature flow

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 only at the first of the candidates $T_i$. This would extend the behavior observed for products of embedded plane curves, where the first collapsing factor determines the singular time; whether the assertion holds for general Lagrangian mean curvature flows is left open.