关于举行杨文元副教授（北京大学）学术报告会的通知

报告主题: Floyd boundary of groups with applications in random walks

报  告  人: 杨文元 副教授

报告时间: 2023年 12月14日（星期四）下午2；30-3:30

报告地点: 37号楼3A01

邀  请  人:    何遵武 副教授

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数学学院

2023年 12月11日

报告摘要：

  Floyd boundary was introduced by W. Floyd in 1980 to compactify any finitely generated group. In line with Mostow rigidity, Floyd then proved that this boundary recovers the limit set of geometrically finite Kleinian groups via purely group theoretic terms. After the work of Karlsson and Gerasimov, Floyd boundary becomes an important tool in understanding the geometry of relatively hyperbolic groups. Until recently, Floyd boundary found interesting connections and applications in the study of random walks on groups. In this talk, we will discuss the relation with the Martin boundary of random walks, and Hausdorff dimension of the limit sets of branching random walks in Floyd boundary. These are based on joint works with various subsets of Dussaule,  Gehktman, Gerasimov, Potaygailo, and Longmin Wang.

报告人介绍：

杨文元现在是北京大学国际数学中心的副教授，研究领域是几何群论与低维拓扑。曾入选中组部第五批“海外高层次人才引进计划（青年项目）”。研究成果丰硕且深刻，在相对双曲群的Floyd边界，Martin边界及Bowditch边界上的各种测度，统计双曲性以及收缩元等方面作了大量工作。在Invent.Math. , Geom.Top., Crelle, Math.Ann.,TAMS，J.Topol.,IMRN等著名国际期刊发表20多篇论文。