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SUMMARY:Chao Li (Princeton)
DTSTART:20201030T220000Z
DTEND:20201030T230000Z
DTSTAMP:20260423T005735Z
UID:caltechGT/5
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/caltechGT/5/
 ">Generalized soap bubbles and the topology of manifolds with positive sca
 lar curvature</a>\nby Chao Li (Princeton) as part of Caltech geometry/topo
 logy seminar\n\n\nAbstract\nIt has been a classical question which manifol
 ds admit Riemannian metrics with positive scalar curvature. I will present
  some recent progress on this question\, ruling out positive scalar curvat
 ure on closed aspherical manifolds of dimensions 4 and 5 (as conjectured b
 y Schoen-Yau and by Gromov)\, as well as complete metrics of positive scal
 ar curvature on an arbitrary manifold connect sum with a torus. Applicatio
 ns include a Schoen-Yau Liouville theorem for all locally conformally flat
  manifolds. The proofs of these results are based on analyzing generalized
  soap bubbles - surfaces that are stable solutions to the prescribed mean 
 curvature problem. This talk is based on joint work with O. Chodosh.\n
LOCATION:https://researchseminars.org/talk/caltechGT/5/
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