BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Yulan Qing (Toronto) DTSTART:20200616T153000Z DTEND:20200616T160000Z DTSTAMP:20260423T020956Z UID:GaTO/17 DESCRIPTION:Title: Th e sub-linearly Morse boundary\nby Yulan Qing (Toronto) as part of Geom etry and topology online\n\n\nAbstract\nThe Gromov boundary\, of a hyperbo lic metric\nspace\, plays a central role in many aspects of geometric grou p\ntheory. In this talk\, we introduce a generalization of the\nGromov bo undary that also applies to non-hyperbolic\nspaces. For a given proper geo desic metric space and a given\nsublinear function \\(\\kappa\\)\, we defi ne the \\(\\kappa\\)-Morse\nboundary to be the space of all \\(\\kappa\\)- sublinearly-Morse\nquasi-geodesics rays starting at a given base point.\n\ nWe show that\, equipped with a coarse version of the cone\ntopology\, the \\(\\kappa\\)-boundary is metrizable and is a\nQI-invariant. For some gr oups\, we show that their Poisson\nboundaries can be realized on the \\(\\ kappa\\)-boundary of their\nCayley graphs. These groups include all \\(\\ CAT(0)\\) groups\,\nmapping class groups\, Teichmü\;ller spaces\, hier archically\nhyperbolic groups\, and relatively hyperbolic groups.\n\nThis talk is based on joint projects with Ilya Gekhtmann\,\nKasra Rafi\, and Gi ulio Tiozzo.\n LOCATION:https://researchseminars.org/talk/GaTO/17/ END:VEVENT END:VCALENDAR