20230519 潘会平 The envelope of the Thurston metric on Teichmuller space

题目：The envelope of the Thurston metric on Teichmuller space

时间：2023年5月19日9：30:00-10:30

地点：数学院203

报告人：潘会平 副教授，华南理工大学

邀请人：肖映青

摘要: Aiming for a geometric understanding of the Teichmuller space from the point of view of hyperbolic geometry, Thurston introduced an asymmetric Finsler metric on the Teichmuller space, the socalled Thurston metric. In the same paper, Thurston proved that this metric is geodesic but not uniquely geodesic. For any two points X and Y in the Teichmuller space, the envelope of X and Y is defined to be the union of all Thurston geodesics from X to Y. In this talk, I will talk about the shapes and continuity of envelopes. This is a joint work with Michael Wolf.

潘会平副教授简介：潘会平2016年博士毕业于中山大学，2016-2018年在复旦大学从事博士后研究，2018-2022在暨南大学工作，2022.6至今在华南理工大学工作。潘会平的研究方向是复分析中的Teichmüller理论，论文发表在Math. Ann.， Trans. AMS，IMRN，Sci. China Math.等期刊。