Untwisted Outer Space for Right Angled Artin Groups

event Wednesday, December 4, 2024
access_time 4:00pm (CST)
room PHSC 1105
free_breakfast Tea at 3:30pm (CST) in PHSC 424

Abstract: A construction from '86 by Culler and Vogtmann gives a combinatorial description of a contractible space on which \(\mathrm{Out}(F_n)\) acts geometrically. In papers from 2016 (Charney, Stambaugh, and Vogtmann) and 2022 (Bregman, Charney, and Vogtmann) respectively, this construction was generalized to a space on which the outer automorphisms of Right Angled Artin Groups (RAAG) act, first by constructing a spine on which the "untwisted" outer automorphisms act, and later by embedding said spine into a larger space acted on by generic outer automorphisms. In this talk we outline the method of construction of this untwisted spine from the 2016 paper and mention some immediate results.


For more information on this event, please contact Nicholas Miller.