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DTSTART;VALUE=DATE:20171128T171500
DTEND;VALUE=DATE:20171128T171500
UID:5771@agenda.unifr.ch
DESCRIPTION:The large scale geometry of Gromov hyperbolic metric spaces exhibits many distinctive \nfeatures, such as the stability of quasi-geodesics (the Morse Lemma), the linear isoperimetric filling \ninequality for 1-cycles, the visibility property, and the homeomorphism between visual boundaries \ninduced by a quasi-isometry. After briefly reviewing these properties, I will describe a number of closely \nanalogous results for spaces of rank n > 1 in an asymptotic sense, under some weak assumptions \nreminiscent of non-positive curvature. A central role is played by a suitable class of n-dimensional \nsurfaces of polynomial growth of order n, which serve as a substitute for quasi-geodesics.
SUMMARY:Prof. Urs Lang (ETHZ): Higher rank hyperbolicity in spaces of nonpositive curvature
CATEGORIES:Colloque / Congrès / Forum
LOCATION:PER 08\, Phys 2.52\, Chemin du Musée 3\, 1700 Fribourg
URL;VALUE=URI:https://agenda.unifr.ch/e/fr/5771
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