报告地点：行健楼665
邀请人：陈二才教授
摘要： The notion of sofic mean dimension was introduced originally and investigated systematically by Hanfeng Li around 2013, which successfully enables the classical Gromov-Lindenstrauss-Weiss mean dimension theory to reach to a rather extensive family of group actions. Such a new research area contains, at least potentially, many problems that are worth considering. We study some of them. In my talk, I shall start with a brief review of mean dimension, sofic groups, and sofic mean dimension, including basic idea, perspective, and typical examples, hopefully. After this, I will proceed to some technical details, and explain the difference between our method and the traditional technique. In particular, we prove two equalities for sofic mean dimension. The results are joint with Yixiao Qiao.
报告人简介：中山大学数学学院副教授，主要研究方向为拓扑动力系统，尤其是平均维数理论，相关学术研究论文发表于 Math. Ann., Fund. Math., Proc. Amer. Math. Soc., Nonlinearity, ETDS, JDE 等期刊。
