This talk consists of two parts related to the holomorphic submanifolds of Kahler manifold. The first part is about the variational characterizations of holomorphic submanifolds in Kahler manifold. This is based on joint work with Claudio Arezzo at ICTP. The second part is about two approaches to the existence of holomorphic curves in Kahler surface. One is the symplectic mean curvature flow and the other is the deformtaion of symplectic critical surfaces. This is based on joint work with Xiaoli Han and Jiayu Li.
