Speaker: Jiyuan Han（Westlake University）
Time: 10:00-11:00, Oct 10, 2025
Venue: room 1124, Material Science Research Building (Section C)
Weight-cscK metrics provide a universal framework for the study of canonical metrics, e.g, extremal metrics, Kahler Ricci soliton metrics, \mu-cscK metrics. In joint works with Yaxiong Liu, we prove that on a Kahler manifold X, the G-coercivity of weighted Mabuchi functional implies the existence of weighted-cscK metrics. In particular, there exists a weighted-cscK metric if X is a projective manifold that is weighted K-stable for models. We will also discuss some progress on singular varieties.
