Abstract: I will talk about the possibilities of using mean curvature flow to deform a Lagrangian submanifold into an area-minimizing Lagrangian (known also as SLag). More precisely, I will show that finite time singularities are unavoidable, i.e., they appear for a large class of "stable" initial conditions. Then, I will give the optimal theorem regarding the structure of the tangent flow at a singularity.