Student Working Seminar in Groups and Dynamics

Date: December 4, 2018

Time: 3:50PM - 4:50PM

Location: BLOC 506A

Speaker: Justin Cantu

Title: Groups generated by bounded automata and tile inflation

Abstract: I will introduce bounded automata and the groups they generate when they are invertible. These groups act on regular rooted trees and give examples of self-similar groups, so we can define the corresponding level n orbital (or Schreier) graphs. We will use tile graphs, which are special subgraphs of level n orbital graphs, and their limits to study the orbital graphs of the group acting on the boundary of the tree.