关于举行史恩慧教授(苏州大学)学术报告会的通知

报告题目：An alternative for minimal group actions on totally regular curves

报 告人：史恩慧 教授

报告时间：2022年5月13日（星期五）19:30---20:30

报告地点：腾讯会议：会议ID：360503953，会议密码：774023

邀 请人：马东魁教授

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数学学院

2022年5月9日

报告摘要：Let G be a countable group and X be a totally regular curve. Suppose thatφ : G → Homeo(X) is a minimal action. Then we show an alternative: either the action is topologically conjugate to isometries on the circle  (this implies that φ(G) contains an abelian subgroup of index at most 2), or has a quasi-Schottky subgroup (this implies that G contains the free nonabelian group Z ∗ Z). In order to prove the alternative, we get a new characterization of totally regular curves by means of the notion of measure; and prove an escaping lemma holding for any minimal group action on infinite compact metric spaces, which improves a trick in Margulis’proof of the alternative in the case that X is the circle. This is a joint work with Xiangdong Ye and Hui Xu.

报告人介绍：史恩慧，苏州大学数学科学学院教授，博士生导师。主要从事群作用拓扑动力系统和遍历理论研究，在中国科学，数学学报，TAMS，Israel J. Math，ETDS，Fund. Math. 等国际著名数学期刊接受和发表论文40余篇，主持国家自然科学基金等项目多项。