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SUMMARY:Matthias Wink (UCLA)
DTSTART:20200617T150000Z
DTEND:20200617T160000Z
DTSTAMP:20260423T021230Z
UID:VSGS/6
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/VSGS/6/">New
  Curvature Conditions for the Bochner Technique</a>\nby Matthias Wink (UCL
 A) as part of Virtual seminar on geometry with symmetries\n\n\nAbstract\nT
 he Bochner Technique has established itself as a powerful tool in Geometry
 \, e.g.\\ D.~Meyer used it to show that the Betti numbers $b_p$ of compact
  $n$-dimensional manifolds with positive curvature operators vanish for $0
  < p < n$. In this talk I will explain that this is more generally the cas
 e for manifolds with $\\lceil \\frac{n}{2} \\rceil$-positive curvature ope
 rators. We will see that this is a consequence of a general vanishing and 
 estimation theorem for the $p$-th Betti number for manifolds with a lower 
 bound on the average of the lowest $(n-p)$ eigenvalues of the curvature op
 erator. This talk is based on joint work with Peter Petersen.\n
LOCATION:https://researchseminars.org/talk/VSGS/6/
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