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SUMMARY:Demetre Kazaras (Stony Brook University)
DTSTART:20200616T143000Z
DTEND:20200616T153000Z
DTSTAMP:20260422T151710Z
UID:GoeTop/8
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GoeTop/8/">S
 calar curvature\, mass\, and harmonic maps</a>\nby Demetre Kazaras (Stony 
 Brook University) as part of Göttingen topology and geometry seminar\n\n\
 nAbstract\nFor a 3-dimensional Riemannian manifold there is a relationship
  between the level sets of a harmonic map and the manifold's scalar curvat
 ure\, expressed by a formula discovered by Daniel Stern. New proofs of cla
 ssical facts in the study of scalar curvature can be given with this formu
 la. We adopt this harmonic map perspective to give novel bounds for the ma
 ss of asymptotically flat initial data sets in terms of certain asymptotic
 ally linear functions. As a consequence\, we obtain a new proof of the spa
 ce-time Positive Mass Theorem in dimension 3. These results are joint work
  with Hugh Bray\, Sven Hirsch\, Marcus Khuri\, and Daniel Stern.\n
LOCATION:https://researchseminars.org/talk/GoeTop/8/
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