汇报标题 (Title)：The constant rank theorem and its applications（常秩定理及其利用）
汇报人 (Speaker)：徐露 教授 （湖南大学）
汇报功夫 (Time)：2024年8月29日（周四）10:00
汇报地址 (Place)：校本部GJ303
约请人(Inviter)：席东盟、李晋、张德凯、吴加勇
主办部门：理学院数学系
汇报提要：
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.
