A Maximum Rank Theorem for Degenerate Complex Monge-Ampere Equation
报告题目：A Maximum Rank Theorem for Degenerate Complex Monge-Ampere Equation
报告专家：胡京辰 博士（中科院数学所）
报告时间：2022年12月28日，14:30-15:30
报告地点：腾讯会议：486-4636-2370（0224）
报告摘要：
The maximum rank theorem has been established for a large variety of nonlinear partial differential equations, but the situation for nonlinear degenerate elliptic equations has remained largely unexplored. In this talk, we will present a maximum rank theorem for homogenous complex Monge-Ampere equation. We will show that, for a solution to a HCMA equation in an n+1 dimensional product space, the convexity of the boundary value implies the Hessian of the solution has rank n.
This talk is based on a recent paper of the speaker:
The Preservation of Convexity by Geodesics in the Space of K\"ahler Potentials on Complex Affine Manifolds
专家简介：
2018年博士毕业于中科大，
2018年-2021年于上海科技大学任助理研究员;
2021年至今在中科院华罗庚中心任博士后，
主要研究方向为复几何，退化非线性方程
邀请人：盛利
