Revisiting Leighton's Theorem

6 May 2020
10:00
Daniel Woodhouse
Abstract

Let X_1 and X_2 be finite graphs with isomorphic universal covers.

Leighton's graph covering theorem states that X_1 and X_2 have a common finite cover.

I will discuss recent work generalizing this theorem and how myself and Sam Shepherd have been applying it to rigidity questions in geometric group theory.

  • Junior Topology and Group Theory Seminar