[IMS Seminar] Dirichlet problem for Krylov type equation in Riemannian geometry

ON2024-03-25TAG: ShanghaiTech UniversityCATEGORY: Lecture

Topic: Dirichlet problem for Krylov type equation in Riemannian geometry

Speaker: Professor Sheng Weimin, School of Mathematical Sciences, Zhejiang University (ZJU)

Date and time: 16:00–17:00, March 27

Venue: Room S408, SCA

Host: Wang Shi


Abstract:

In this talk, Professor Sheng shall introduce a class of nonlinear elliptic equations in the Krylov type, which can be viewed as a generalization of the Hessian equation. As applications, he shall talk about studying a Plateau type problem for locally convex Weingarten hypersurfaces and the Dirichlet problem for a modified Schouten tensor in the smooth closed Riemannian manifold with smooth boundary. This talk bases on the joint works with Dr. Xia Shucan and Ms Liu Xinying.