One-ended Spanning Trees in Amenable Group Actions

Explore the intricacies of one-ended spanning trees in amenable group actions in this 30-minute conference talk by Matt Bowen. Delve into the Schreier graph of free Borel actions of one-ended amenable groups, discovering how they contain a Borel one-ended component spanning tree almost everywhere. Examine related findings in Baire measurable and Borel settings, and uncover applications to Borel combinatorics. Based on collaborative work with Antoine Poulin and Jenna Zomback, this presentation is part of the Measured Group Theory program at the Centre de recherches mathématiques (CRM).