报告时间：2025年10月16日(周二)下午4:00-4:50

报告地点：苏州大学本部精正楼306

报告人： 罗晓芳，博士后，华南理工大学。

摘要：

Let π: (X,G) → (Y,G) be a factor map between continuous actions of a sofic group G, we study sofic conditional mean dimension introduced by Li and Liang and study relative sofic mean dimension introduced by Liang, respectively. We obtain that if π has non-negative sofic conditional mean dimension (resp. relative sofic mean dimension), then π has the maximal zero sofic conditional mean dimension factor (resp. maximal relative zero sofic mean dimension factor).

Additionally, the local properties of sofic conditional mean dimension and relative sofic mean dimension are studied. We introduce the sofic conditional mean dimension tuples and relative sofic mean dimension tuples, and show that π has positive sofic conditional mean dimension (resp. relative sofic mean dimension) if and only if the set of sofic conditional mean dimension tuples (resp. relative sofic mean dimension tuples) is nonempty.

邀请人：梁兵兵