Differential Geometry of Lagrangian submanifolds and related variational problems
09:00 - 09:50
308 , Mathematics Research Center Building (ori. New Math. Bldg.)
In this talk I will give a survey of my recent works and their environs on Lagrangian submanifolds in specific K\"ahler manifolds such as complex projective spaces, complex space forms and Hermitian symmmetric spaces and so on. Especially I shall discuss (1) the Hamiltonian stability problem of Lagrangian submanifolds, (2) the classification problems of homogeneous Lagrangian submanifolds, (3) the relationship between certain minimal Lagrangian submanifolds in complex hyperquadrics and isoparametric hypersurfaces in spheres. This talk is mainly based on joint works with Amartuvshin Amarzaya(Natonal Univ. Mongolia), Hui Ma (Tsinghua Univ., Peking).