Hausdorff Dimension of non-conical and Myrberg limit sets
数学专题报告
报告题目(Title)：Hausdorff Dimension of non-conical and Myrberg limit sets
报告人(Speaker)：Wenyuan Yang (BICMR)
地点(Place)：后主楼1124
时间(Time)：2025年10月29日（周三）10:00-11:00
邀请人(Inviter)：程志云
报告摘要
In this talk, we study the Hausdorff dimensions of non-conical and Myrberg limit sets for groups acting on negatively curved spaces. We establish maximality of the Hausdorff dimension of the non-conical limit set for Fuchsian groups, Kleinian groups and groups actings on trees. We also show that the Hausdorff dimension of the Myrberg limit set is the same as the critical exponent confirming a conjecture of Falk-Matsuzaki. This is based on a joint work with Mahan Mj.
主讲人简介
杨文元，北京国际数学研究中心教授，国家高层次人才计划入选者，主要研究方向是几何群论与低维拓扑，已在Invent Math, Geometry&Topology, Crelle's journal, Journal of Topology, Math Ann, Annals of Probability等国际知名期刊发表论文多篇。
