Speaker: Jiyuan Han (Westlake University)
Time: 14:30-15:30, May 21, 2026
Venue: room 1329, Building 1 (Section A), New Campus of USTC Shanghai Institute for Advanced Studies & Tencent Meeting ID: 942 663 0176, no password
Weighted-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, e.g, the existence of weighted-cscK on a toric resolution.
For more information, please visit: https://vtmaths.github.io/imfp-igp-seminar/index.html
