报告人 ：金磊（中山大学）

时间：2023年02月16日 9:30-

地址：数统学院LD302

摘要：The notion of sofic mean dimension was introduced originally and investigated systematically by Hanfeng Li around 2013, which enables the classical mean dimension theory to reach to a rather extensive class of group actions. Such a new research area contains, at least potentially, many problems that are worth considering. We study some of them in relation to explicit values of sofic mean dimension. In the first half of my talk, I shall start with a brief review of mean dimension, sofic groups, and sofic mean dimension, including basic ideas and typical examples, hopefully. In the second half, I will proceed to some technical details. In particular, we prove two equalities for sofic mean dimension; more precisely, we get the exact value of sofic mean dimension of full shifts over finite-dimensional alphabets and finite group actions on finite-dimensional compact metrizable spaces. The results are joint with Yixiao Qiao.

邀请人：黄小军

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