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SUMMARY:Yulan Qing (Fudan University)
DTSTART:20210211T180000Z
DTEND:20210211T190000Z
DTSTAMP:20260423T004701Z
UID:OSUGGT/27
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OSUGGT/27/">
 Sublinearly Morse Boundary of Groups</a>\nby Yulan Qing (Fudan University)
  as part of Ohio State Topology and Geometric Group Theory Seminar\n\n\nAb
 stract\nGromov boundary plays a central role in many aspects of geometric 
 group theory. In this study\, we develop a theory of boundary when the con
 dition on hyperbolicity is removed: For a given proper\, geodesic metric s
 pace X and a given sublinear function $\\kappa$\, we define the $\\kappa$-
 boundary\, as the space of all $\\kappa$-Morse quasi-geodesics rays. The s
 ublinearly Morse boundary is QI-invariant and thus can be associated with 
 the group that acts geometrically on X. For a large class of groups\, we s
 how that sublinearly Morse boundaries are large: they provide topological 
 models for the Poisson boundaries of the group. This talk is mainly based 
 on several joint projects with Ilya Gekhtman\, Kasra Rafi and Giulio Tiozz
 o.\n
LOCATION:https://researchseminars.org/talk/OSUGGT/27/
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