报告题目:Large scale geometry of big mapping class groups
报 告 人:Kasra Rafi 教授(多伦多大学)
报告时间:2020年1月4日(星期六)下午15:00-16:30
报告地点:4号楼318 室
邀 请 人:杜晓明 副教授
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数学学院
2019年 12月30日
报告摘要:
We study the large-scale geometry of mapping class groups of surfaces of infinite type, using the framework of Rosendal for coarse geometry of non locally compact groups. When the end space of the surface is countable or tame, we give a classification of those mapping class groups that have a well-defined quasi-isometry type and among those we give a classification of mapping class groups that are quasi-isometric to a point.
报告人简介:
Kasra Rafi,多伦多大学数学系教授,从事几何拓扑的研究,兴趣集中在曲面映射类群以及 Teichmuller 空间的几何等等问题上,在 Inventiones Mathematicae 上发表论文2篇,在 Duke Math. J.、Geom. and Func. Analysis、Geometry and Topology、J. Diff. Geom. 等期刊上发表论文20余篇。