10-10【韩骥原】On the existence of weighted-cscK metrics

发布时间:2025-09-10来源:几何与物理研究中心中文网页浏览次数:10

报告人:韩骥原西湖大学

时间:2025年10月10日10:00-11:00  

地点:物质科研楼C1124


 

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.