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DTSTART;VALUE=DATE:20140527T171500
DTEND;VALUE=DATE:20140527T171500
UID:5711@agenda.unifr.ch
DESCRIPTION:The m-th isoperimetric or filling volume function of a Riemannian\nmanifold or a more general metric space X measures how difficult it is\nto fill m-dimensional boundaries in X of a given volume with an\n(m+1)-dimensional surface in X. The asymptotic growth of the\nisoperimetric functions provides large scale invariants of the\nunderlying space. They have been the subject of intense research in past\nyears in large scale geometry and especially geometric group theory,\nwhere the isoperimetric functions appear as Dehn functions of a group.\nIn this talk, I survey relationships between the asymptotic growth of\nisoperimetric functions and the large scale geometry of the underlying\nspace and, in particular, fine properties of its asymptotic cones. I\nwill furthermore describe recently developed tools from geometric\nmeasure theory in metric spaces and explain how these can be used to\nstudy the asymptotic growth of the isoperimetric functions.
SUMMARY:Stefan Wenger (Fribourg): Isoperimetric inequalities and asymptotic geometry
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/5711
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