2018-06-13 14:30-16:30 Room 1556, Science Building No.1 In this talk, we will first review the classic Weyl's embedding problem and its application in quasi-local mass. We will then discuss some recent progress on Weyl's embedding problem in Riemannian manifold. Assuming isometric embedding into Schwarzschild manifold, we will further establish a localized Penrose inequality. This talk is based on joint works with Pengfei Guan and Pengzi Miao.