Colloquium: Dirichlet problem for Krylov type equation in Riemannian geometry

Time: Wednesday, March 27th, 2024 , 16:00-17:00

Speaker: Weimin Sheng (盛为民), Zhejiang University, Professor (Chair)

Abstract: In this talk, I 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, I 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 Shucan Xia and Ms Xinying Liu.