WoG 2024 Talk 6.3: Maya Verma - Leighton’s Property of $X_{m,n}$

Speaker: Maya Verma
Institution: The University of Oklahoma
Website: sites.google.c...
Title: Leighton’s Property of $X_{m,n}$
Abstract: In 1982, Leighton proved that any two finite graphs with a common cover admits a finite sheeted common cover. In this talk, I will introduce the combinatorial model $X_{m,n}$ for Baumslag-Solitar group BS(m,n), and classify for which pairs of integers $(m,n)$ the Leighton’s theorem can be extended to the orbit space of covering actions on $X_{m,n}$.