中央研究院數學研究所

Special Colloquium

Singular canonical metrics

2025/12/09 (Tue.) 15:30~16:30

Date : 2025/12/09 (Tue.) 15:30~16:30
Location : Seminar Room 638, Institute of Mathematics (NTU Campus)
Speaker : Chung-Ming Pan (Université du Québec à Montréal)
Abstract : A central problem in Kähler geometry is the search for canonical Kähler metrics, such as Kähler-Einstein metrics, constant scalar curvature Kähler (cscK) metrics, etc. The Mabuchi functional plays a fundamental role in the existence theory of these metrics and provides a powerful variational framework for studying them. I will begin with a panorama in smooth contexts. Since singular spaces frequently arise in various geometric constructions, it is natural and important to understand canonical metrics on singular spaces. In the second part of the talk, I will discuss recent developments in singular cscK metrics and outline certain future directions in this area.