报告题目：Fibered metric spaces and rigidity of quasisymmetric maps

报 告 人：谢向东教授（Bowling Green State University）

报告时间：2022年12月19日  8:40-9:40

报告地点：腾讯会议（236-717-897）

报告摘要：

I will explain that if a metric space has a fibered structure (disjoint union of “fibers”) and if a self quasisymmetric map of this metric space sends fibers to fibers, then the quasisymmetric map is often biLipschitz. Such metric spaces arise as the boundary of negatively curved homogeneous spaces and such quasisymmetric maps arise as the boundary map of quasi-isometries between negatively curved homogeneous spaces. I will sketch the proof and discuss some open problems. This talk is based on joint works with various authors including Shanmugalingam, Le Donne, Medwid.

报告人简介：

谢向东，美国博林格林州立大学（Bowling Green State University）教授。主要从事几何群论，双曲几何和度量几何等研究，在J. Reine Angew. Math., Geom. Topol., Math. Ann., Trans. Amer. Math. Soc., J. Lond. Math. Soc.等国际著名期刊发表论文近30余篇。