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发布时间:2022-12-12文章来源:华南理工大学数学学院浏览次数:271

报告题目:New dynamical characterization of countable amenable groups

报 人:张国华 教授 (复旦大学)

报告时间:2022年12月12日(星期)下午4:00-5:00                 

报告地点:腾讯会议ID:408-460-595

邀 人:杨启贵教授

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数学学院

2022年12月12

 

报告摘要:Since von Neumann studied the well-known Banach-Tarski paradox in 1929, till now there are many characterizations for amenable groups. In this talk I will report a new characterization of countable amenable groups from the viewpoint of dynamical system. Namely we introduce a new concept called multiorder, and prove that a countable group G is amenable if and only if there exists a multiorder on G. I will also discuss briefly some applications of this new characterization. The talk is based on joint works with Downarowicz, Huczek, Oprocha and Wiecek.

 

报告人简介:张国华,2007年7月博士毕业于中国科学技术大学数学系(现为数学科学学院),2013年起任职复旦大学数学科学学院教授。研究方向是拓扑动力系统,主要研究动力系统的复杂性理论和可数离散群作用动力系统的熵理论。在Memoirs Amer. Math. Soc., J. Reine Angew. Math., Adv. Math., Ergod. Th. Dynam. Systems, J. Mod. Dyn., J. Funct. Anal., J. Differential Equations等国际知名刊物上发表论文30余篇