By Sam Shepherd
Given compact length spaces $X_1$ and $X_2$ with a common universal cover, it is natural to ask whether $X_1$ and $X_2$ have a common finite cover. In particular, are there properties of $X_1$ and $X_2$, or of their fundamental groups, that guarantee the existence of a common finite cover? We will discuss several examples, as well as my new result which concerns the case where the common universal cover is a right-angled building. Examples of right-angled buildings include products of trees and Davis complexes of right-angled Coxeter groups. My new result will be stated in terms of weak commensurability of lattices in the automorphism group of the building.
By Koji Fujiwara
By Emily Stark
By Kathryn Mann
By Pallavi Dani
By Carolyn Abbott
By Alice Kerr
By Jean Lecureux
By Nir Lazarovich
By Sam Shepherd
By Alessandro Sisto
By Stephen Coombes , Peter Liddle
By Ariane Trescases
By Olga Mula Hernandez
By François-Xavier Vialard
By François-Xavier Vialard
By Thibaut Le Gouic
By Elsa Cazelles
By Jean Feydy
