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.