BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Carolyn Abbott (Brandeis University) DTSTART:20260129T133000Z DTEND:20260129T143000Z DTSTAMP:20260423T020957Z UID:GaTO/132 DESCRIPTION:Title: A non-acylindrically hyperbolic Morse local-to-global group\nby Carolyn Abbott (Brandeis University) as part of Geometry and topology online\n\nL ecture held in Room B3.02 in the Zeeman Building\, University of Warwick.\ n\nAbstract\nHyperbolic spaces satisfy two defining properties: every geod esic is Morse\, and every local quasi-geodesic (on a sufficiently large lo cal scale) is a global quasi-geodesic. In non-hyperbolic spaces\, some geo desics may be Morse and others not\, and local quasi- geodesics may or may not be global quasi-geodesics. Intuitively\, the Morse geodesics pick out the “hyperbolic-like” directions in the space. Morse local-to-global (MLTG) spaces generalize hyperbolic spaces by requiring that the local-to- global property for hyperbolic spaces holds for all Morse elements. MLTG g roups (groups whose Cayley graph is a MLTG space) include hyperbolic group s\, Zn\, many classes of Artin groups\, including right-angled\, mapping c lass groups\, and groups hyperbolic relative to MLTG groups. All known exa mples that contain a Morse element are acylindrically hyperbolic\; in ligh t of which Russell\, Spriano\, and Tran asked whether this was always the case. In this talk\, I’ll explain why the answer to this question is no by describing the construction of a non-acylindrically hyperbolic MLTG gro up with a Morse element. Along the way\, I’ll describe how to generalize several techniques from small cancellation groups to general finitely gen erated groups. \n\nThis is joint work with Stefanie Zbinden.\n LOCATION:https://researchseminars.org/talk/GaTO/132/ END:VEVENT END:VCALENDAR