This is an informal online complex geometry student seminar organized by Song Sun's students starting from Fall 2024. For previous talks see here.
We want to build more communication between young people in/around Complex Geometry, wish you have some fun in ACG!
If you would like to be added to the mailing list, please email me at chen@mat.uniroma2.it.
In this talk, I will discuss some recent work on positive scalar curvature Kähler (PSCK) metrics. I will first introduce a variational approach to PSCK metrics based on prescribing the scalar curvature measure. Based on this approach, I will explain the link between K-stability and PSCK metrics, and how quantitative data underlying K-stability also detect the existence of PSCK metrics in a given Kähler class.