Time: Fri 2/25 3:00 PM

Speaker: Xin Ma

Location: Dunn Hall 313

Title: Invariant ergodic measure, Mean dimension, and the small boundary property.

Abstract: In topological dynamics, the mean dimension can be used to classify dynamical systems. The small boundary property, related to mean dimension zero, was introduced by Weiss and Lindenstrauss, which is also found to have something to do with the structure theory of C*-algebras recently. In this talk, we mainly discuss the relationships among the three concepts in the title and see some applications. I will start from the very beginning of the topics. No specific background is assumed.