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Mathematics Colloquium

  • Date
    Thu, Oct 24

    Time
    1:00 PM — 2:00 PM

    Website
    http://math.sci.ccny.cuny.edu/seminar/show/7

    Address
    North Academic Center
    160 Convent Avenue
    NAC 6/113

    Location
    North Academic Center, NA 6/113

    p: 212.650.5346

    Admission
    Free

  • Event Details

    Renato Bettiol (University of Notre Dame), Strong positive sectional curvature 

    Compact Riemannian manifolds with positive sectional curvature are very special objects that have been studied since the beginning of Riemannian geometry. Nevertheless, there are currently very few known examples and many conjectures regarding these objects remain elusive. A much stronger notion is that of manifolds with positive curvature operator, which have been completely classified through the use of Ricci flow. In this talk, I will describe an intermediate notion between the above two, that has not received much attention but essentially dates back to the work of Thorpe in the early 70's. The interest in this class arises from trying to understand the "gap" between the classes of manifolds with positive curvature operator and positive sectional curvature, with the hope to better understand the latter. This is joint work with R. Mendes (Notre Dame).
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