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SUMMARY:Tristan Ozuch (MIT)
DTSTART:20220215T140000Z
DTEND:20220215T150000Z
DTSTAMP:20260423T022737Z
UID:BOWL/36
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/BOWL/36/">We
 ighted versions of scalar curvature\, mass and spin geometry for Ricci flo
 ws</a>\nby Tristan Ozuch (MIT) as part of B.O.W.L Geometry Seminar\n\n\nAb
 stract\nWith A. Deruelle\, we define a Perelman like functional for ALE me
 trics which lets us study the (in)stability of Ricci-flat ALE metrics. Wit
 h J. Baldauf\, we extend some classical objects and formulas from the stud
 y of scalar curvature\, spin geometry and general relativity to manifolds 
 with densities. We surprisingly find that the extension of ADM mass is the
  opposite of the above functional introduced with A. Deruelle. Through a w
 eighted Witten’s formula\, this functional also equals a weighted spinor
 ial Dirichlet energy on spin manifolds. Ricci flow is the gradient flow of
  all of these quantities.\n
LOCATION:https://researchseminars.org/talk/BOWL/36/
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