BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Elia Fioravanti (MPIM Bonn) DTSTART:20230309T140500Z DTEND:20230309T150000Z DTSTAMP:20260423T003240Z UID:GaTO/79 DESCRIPTION:Title: Co arse cubical rigidity\nby Elia Fioravanti (MPIM Bonn) as part of Geome try and topology online\n\nLecture held in Room D1.07 in the Zeeman Buildi ng\, University of Warwick.\n\nAbstract\nWhen a group $G$ admits nice acti ons on $\\mathrm{CAT}(0)$ cube complexes\, understanding the space of all such actions can provide useful information on the outer automorphism grou p $\\mathrm{Out}(G)$. As a classical example\, the Culler-Vogtmann outer s pace is (roughly) the space of all geometric actions of the free group $F_ n$ on a $1$-dimensional cube complex (a tree). In general\, however\, spac es of cubulations tend to be awkwardly vast\, even for otherwise rigid gro ups such as the hexagon RAAG. In an attempt to tame these spaces\, we show that all cubulations of many right-angled Artin and Coxeter groups coarse ly look the same\, in a strong sense: they all induce the same coarse medi an structure on the group. \n\nThis is joint work with Ivan Levcovitz and Michah Sageev.\n LOCATION:https://researchseminars.org/talk/GaTO/79/ END:VEVENT END:VCALENDAR