Moduli space of HCMU metrics and weighted graphs
Organizer
Speaker
Sicheng Lu
Time
Monday, May 25, 2026 10:00 AM - 11:00 AM
Venue
Shuangqing-B627
Online
Zoom 442 374 5045
(BIMSA)
Abstract
HCMU metrics are extremal Kähler metrics on compact Riemann surfaces with a finite number of singularities. Research on these metrics was initiated by E. Calabi over forty years ago. In this talk, we explain how to encode an HCMU metric efficiently by a weighted graph embedded on a surface. This encoding is built on the so-called "football decomposition" of such a metric and is inspired by the theory of meromorphic abelian differentials. As applications, we investigate some basic properties of the geometric moduli space of HCMU metrics. This is a joint work with Bin Xu.
Speaker Intro
陆斯成，苏州大学讲师，博士毕业于复旦大学，曾在中国科学技术大学从事博士后研究。主要研究方向为Teichmuller理论、双曲几何，特别关心曲面的模空间与几何结构的形变理论。