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SUMMARY:McFeely Jackson Goodman
DTSTART:20221207T160000Z
DTEND:20221207T170000Z
DTSTAMP:20260423T052837Z
UID:VSGS/63
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/VSGS/63/">Cu
 rvature Operators\, Laplacians\, and Rational Cobordism</a>\nby McFeely Ja
 ckson Goodman as part of Virtual seminar on geometry with symmetries\n\n\n
 Abstract\nWe give new conditions on positivity of certain linear combinati
 ons of eigenvalues of the curvature operator of a Riemannian manifold whic
 h imply the vanishing of the indices of Dirac operators twisted with geome
 tric vector bundles.  The vanishing indices in turn have topological impli
 cations in terms of the Pontryagin classes\, rational cobordism type\, and
  Witten genus of the manifolds.  To prove our results we generalize new me
 thods developed by Petersen and Wink to apply the Bochner technique to Lap
 lacians on geometric vector bundles.\n
LOCATION:https://researchseminars.org/talk/VSGS/63/
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