Upcoming Events
Topology, Algebraic Geometry, and Dynamics Seminar (TADS): Existence of weighted cscK metrics
Mar 20, 2026, 1:30 - 2:30 PM
Speaker: Yaxiong Liu, University of Maryland
Title: Existence of weighted cscK metrics
Abstract: In this talk, we study weighted cscK metrics in the sense of Lahdili. We prove that on a smooth Kahler manifold, the G-coercivity of the weighted Mabuchi functional implies the existence of weighted-cscK (extremal) metric for the log-concave weight. On a projective klt variety, we prove that weighted uniform K-stability implies the G-coercivity of weighted Mabuchi functional provided the envelope conjecture. This is a joint work with Dr. Jiyuan Han.
Date/Time: Friday, March 20, 1:30pm
Location: Exploratory Hall Room 4208