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SUMMARY:David Martínez-Carpena (Universitat de Barcelona)
DTSTART:20211103T120000Z
DTEND:20211103T130000Z
DTSTAMP:20260513T201459Z
UID:SIMBa/27
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/SIMBa/27/">T
 opological models of $\\infty$-groupoids</a>\nby David Martínez-Carpena (
 Universitat de Barcelona) as part of Barcelona Mathematics Informal Semina
 r (SIMBa)\n\nLecture held in UB\, Aula B2.\n\nAbstract\nIn higher category
  theory\, $\\infty$-groupoids are $\\infty$-categories whose morphisms are
  weakly invertible at all orders. Every topological space has an associate
 d $\\infty$-groupoid\, named its fundamental $\\infty$-groupoid\, which en
 codes the information of higher paths over the space. The statement that e
 very space can be recovered up to homotopy from its fundamental $\\infty$-
 groupoid is known as Grothendieck’s homotopy hypothesis. In this present
 ation\, we choose a model of $\\infty$-categories based on topologically e
 nriched categories\, and discuss the homotopy hypothesis in this context.\
 n
LOCATION:https://researchseminars.org/talk/SIMBa/27/
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