School Seminars and Colloquia

Generalities on the dynamics of group actions

Geometry/Topology Seminar

by Grant Cairns


Institution: La Trobe University
Date: Mon 14th November 2005
Time: 3:15 PM
Location: Theatre 1, Old Geology Building, The University of Melbourne

Abstract: This talks surveys some basic dynamical notions, like transitivity and
mixing, for group actions on topological spaces. We discuss the relations between these notions, and the manner in which they are inherited by subgroups, by taking products, etc. The focus of the talk is that certain
standard notions, which are equivalent in the classical theory of the
dynamics of flows and the iteration of single maps, are distinct for
general group actions. We examine how the notions coalesce (a) for actions of Abelian groups and (b) for chaotic actions. This is joint work with
Alla Kolganova and Anthony Nielsen.

For More Information: Lawrence Reeves email: l.reeves@ms.unimelb.edu.au