报告主题: The moduli space of dihedral cone spherical surfaces
报 告 人: 陆斯成
报告时间: 2025年 3月 18 日(星期二) 下午 4:00
报告地点: 37号楼3A02
邀 请 人: 钟友良、陈麒羽 副教授
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数学学院
2025年3月17日
报告摘要:This talk presents our recent work on spherical surfaces with conical singularities, a world parallel to hyperbolic surfaces. We focus on a special subclass called dihedral surfaces whose monodromy groups behave well, and are interested in their moduli space with prescribed cone angles. By utilizing measured foliations, we obtain a picture of their geometric decomposition and deformation. As an application, we give the moduli space a polyhedron-like structure and compute its dimension. This is a joint work with Bin Xu.
报告人介绍:陆斯成博士,毕业于复旦大学,现为中国科学技术大学几何与物理中心的博士后。主要研究方向为几何拓扑与泰希米勒理论,特别是黎曼曲面上的几何结构与几何形变;热衷于使用美观达意的图示传递数学想法。