Student Working Seminar in Groups and Dynamics

Date: November 20, 2020

Time: 11:00AM - 12:00PM

Location: zoom

Speaker: Josiah Owens

Title: Schreier Graphs and Schreier Dynamical Systems: "Schreier! Graphin's!" -Gollum, the group theorist

Abstract: The concept of a Schreier graph will be introduced as well as the space of Schreier graphs over a given finitely generated group and its topology. A dynamical system enacted by a group G on a space X (whether topological or measurable) can be isomorphically embedded into the space of Schreier graphs over G or the space of subgroups of G. A given Schreier graph can be associated with a (Schreier) dynamical system, described by its orbit in the space of Schreier graphs over G. We will show that if the action of G on X is minimal, then the orbit of a G-typical Schreier graph is dense in the isomorphic embedding of (G, X) in the space of Schreier graphs.