Speaker: Junhao Tian (Stony Brook University)
Time: 10:00-11:00, Dec 30, 2025
Venue: room 1124, Material Science Research Building (Section C)
The study of canonical metrics in Kahler geometry has long been a central theme in complex differential geometry. Mabuchi defined the K-energy functional and pointed out that the canonical metric should be the minimal point. Pseudo Calabi Flow is a_gradient flow of K-energy respect to an infinite dimension Riemannian structure on the metric moduli space. In this talk, we first recall some result on short time existence and stability which was done by Xiuxiong Chen and Kai Zheng. Then we briefly introduce long time existence and convergence in some cases and an openness property. The main idea of this improvement is elliptic and parabolic estimate on a system of PDE. This is a joint work with Jingrui Cheng.
