Type II singularity conjecture for loss of embeddedness in Lagrangian mean curvature flow

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 have a singularity of type II. The conjecture proposes a higher-codimension analogue of the plane-curve phenomenon that type II singularities do not occur for embedded initial curves; no resolution is given in the source.