Joint IAS/Princeton University Geometric Analysis Seminar

If we deform a submanifold along its mean curvature vector, which is called mean curvature flow (MCF), the area will decrease most rapidly. Being Lagrangian is preserved along MCF in Kahler-Einstein manifolds. We can thus try to construct special Lagrangian/Lagrangian minimal through MCF. In this talk, I will give a brief introduction and report some of my recent works with my coauthors in this direction, which mainly concern the singularities of the flow.