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SUMMARY:Giovanni Bazzoni (Università dell'Insubria)
DTSTART:20201203T133000Z
DTEND:20201203T143000Z
DTSTAMP:20260423T024508Z
UID:GeoSem/11
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GeoSem/11/">
 Homotopy Invariants and almost non-negative curvature</a>\nby Giovanni Baz
 zoni (Università dell'Insubria) as part of Geometry Seminar - University 
 of Florence\n\n\nAbstract\nAlmost non-negative sectional curvature (ANSC) 
 is a curvature condition on a Riemannian manifold\, which encompasses both
  the almost flat and the non-negatively curved case. It was shown in a rem
 arkable paper by Kapovitch\, Petrunin and Tuschmann that\, modulo some tec
 hnical details\, a compact ANSC manifold is a fiber bundle over a nilmanif
 old\, and that the fiber satisfies a curvature condition only slightly mor
 e general than ANSC. In this talk\, based on joint work with G. Lupton and
  J. Oprea\, we will discuss such manifolds from the point of view of Ratio
 nal Homotopy Theory\, presenting various invariants of bundles of such typ
 e\, and proving a (rational) Bochner-type theorem.\n
LOCATION:https://researchseminars.org/talk/GeoSem/11/
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