题目：The Weyl Problem and Intrinsic Geometry of Convex Surfaces

报告人： 吴天琦（哈佛大学）

Abstract：It is well known that a smooth convex surface in the Euclidean space has non-negative Gaussian curvature. Weyl problem asks the converse, namely, whether any Riemannian metric of positive curvature on the 2-sphere is isometric to the boundary of a convex body in R^3. A.D. Alexandrov affirmatively solved the Weyl problem for general convex surfaces, which are not necessary smooth.

In this lecture series, we will

1, Discuss the Weyl problem for convex polyhedra, including the remarkable Alexandrov's uniqueness theorem.

2, Introduce Alexandrov's theory of intrinsic geometry of convex surfaces, which provides us solid foundation and basic tools for the study of non smooth convex surfaces.

3, Solve the Weyl problem for the general, possibly non smooth, convex surfaces.

时间：2019年7月10日-8月14日

每周三下午16：00-17:40，周五上午9：00-10：40

地点：565net必赢客户端本部教二楼 713 教室

联系人：光场成像与数字几何北京市重点实验室

欢迎全体师生积极参加！