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.