EVENT DETAILS AND ABSTRACT

Title: Characteristic Measures and Minimal Subdynamics
Speaker: Joshua Frisch
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Abstract:

Given a topological dynamical system (a group G acting on a compact space X) a measure on X is said to be characteristic if it is invariant to the automorphism group of the system. After an introduction to characteristic measures we will proceed to the main topic of the talk: the construction of a minimal topological dynamical system (for any countable group G in particular Z) In order to make progress on this construction we will be led to also introduce the following problem. Given a countable group G and a collection Delta_i of infinite subgroups when is there a faithful G action which is minimal for all Delta simultaneously. This is joint work with Brandon Seward and Andy Zucker.