Abstract:

In this talk, we will discuss some recent results about mean curvature flow (MCF) of asymptotically conical (AC) Lagrangian submanifolds. After showing some basic properties including short-time existence and extension criterion for the MCF starting from AC Lagrangian submanifolds, we will focus on the MCF of equivariant AC Lagrangian submanifolds and prove a long-time existence and convergence result in this case.