BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Gabriel Corrigan (University of Glasgow) DTSTART:20260219T133000Z DTEND:20260219T143000Z DTSTAMP:20260423T021044Z UID:GaTO/135 DESCRIPTION:Title: F initeness properties of some automorphism groups of right-angled Artin gro ups\nby Gabriel Corrigan (University of Glasgow) as part of Geometry a nd topology online\n\nLecture held in Room B3.02 in the Zeeman Building\, University of Warwick.\n\nAbstract\nRight-angled Artin groups (RAAGs) can be viewed as a generalisation of free groups. To what extent\, then\, do t he techniques used to study automorphisms of free groups generalise to the setting of RAAGs? One significant advance in this direction is the constr uction of 'untwisted Outer space' for RAAGs\, a generalisation of the infl uential Culler-Vogtmann Outer space for free groups. A consequence of this construction is an upper bound on the virtual cohomological dimension of the 'untwisted subgroup' of outer automorphisms of a RAAG. However\, this bound is sometimes larger than one expects\; I present work showing that i n fact it can be arbitrarily so\, by forming a new complex as a deformatio n retraction of the untwisted Outer space. In a different direction\, anot her subgroup of interest is that consisting of symmetric automorphisms. Ge neralising work in the free groups setting from 1989\, I present an Outer space for the symmetric automorphism group of a RAAG. A consequence of the proof is a strong finiteness property for many other subgroups of the out er automorphism group.\n LOCATION:https://researchseminars.org/talk/GaTO/135/ END:VEVENT END:VCALENDAR