## 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.