报告题目 (Title)：The constant rank theorem and its applications
中文标题: 常秩定理及其应用
报告人 (Speaker)：徐露教授 湖南大学
报告时间 (Time)：2024年8月29号（周四）10：00
报告地点 (Place)：校本部GJ303
邀请人(Inviter)：席东盟、李晋、张德凯、吴加勇
报告摘要：The constant rank theorem was initially developed by Caffarelli-Friedman in 1985 in two-dimensions for convex solutions of semilinear equations. Later, Korevaar-Lewis extended the result to higher dimensions. The theory was generalized to fully nonlinear case twenty years ago, and it had became an important ingredient in the study of prescribed curvature problems, such as the Christoffel-Minkowski problem and the prescribed Weingarten curvature problem. In this talk, I will give some applications of the constant rank theorem. These work are jointly finished with my co-authors.