Speaker：Lei Jin (Sun Yat-sen University)

Time：2024-3-15, 8:20

Location：Conference Room 110 at Experiment Building at Haiyun Campus

Abstract:

The aim of my talk is to give an elementary introduction to mean dimension. I will begin mostly with the Bebutov-Kakutani dynamical embedding theorem for real flows, which states an “if and only if” condition under which an abstract flow can be equivariantly embedded in a concrete flow over a standard function space. Starting from this, several directions were then involved. As an alternative, we may consider if there is any possible refinement or any typical analogue with a different point of view, and further, we may pose natural questions from a dimension-theoretic perspective. We generally restrict ourselves to some intuitive context of acting groups, while noting that the mentioned invariants can be defined also within a framework of a much more extensive family of group actions.