Brian will speak September 4th and 11th (at 3:30pm)
Title: An introduction to subdivision rules and Cannon’s conjecture
Abstract: Hyperbolic 3-space has a useful sphere at infinity, and any group acting geometrically on it has a sphere at infinity as well. It is not known if the converse is true; this is Cannon’s conjecture about Gromov hyperbolic groups with a 2-sphere at infinity. Subdivision rules were developed in an attempt to solve this conjecture. We will discuss the background of Cannon’s conjecture, subdivision rules, and what it means for a subdivision rule to be conformal.