15 may 2017 -- 14:00
Aula Mancini SNS
Abstract.
Mean Curvature Flow is a very canonical way to deform submanifolds to minimal submanifolds and it improves the geometry of submanifolds along the flow. If the initial submanifold is a Lagrangian submanifold in a Kahler-Einstein manifold, then mean curvature flow will preserve the Lagrangian condition whenever the solution is smooth. It is thus called Lagrangian mean curvature flow and is a potential method to construct special Lagrangians that play an important role in string theory. In this talk, I will introduce Mean Curvature flow and Lagrangian Mean Curvature Flow, discuss related results and difficulties, and report some of our progress in this direction.