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SUMMARY:Richard Bamler (UC Berkeley)
DTSTART:20201113T230000Z
DTEND:20201114T000000Z
DTSTAMP:20260423T005741Z
UID:caltechGT/7
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/caltechGT/7/
 ">Compactness and partial regularity theory of Ricci flows in higher dimen
 sions</a>\nby Richard Bamler (UC Berkeley) as part of Caltech geometry/top
 ology seminar\n\n\nAbstract\nWe present a new compactness theory of Ricci 
 flows. This theory states that any sequence of Ricci flows that is pointed
  in an appropriate sense\, subsequentially converges to a synthetic flow. 
 Under a natural non-collapsing condition\, this limiting flow is smooth on
  the complement of a singular set of parabolic codimension at least 4. We 
 furthermore obtain a stratification of the singular set with optimal dimen
 sional bounds depending on the symmetries of the tangent flows. Our method
 s also imply the corresponding quantitative stratification result and the 
 expected $L^p$-curvature bounds.\n\nAs an application we obtain a descript
 ion of the singularity formation at the first singular time and a long-tim
 e characterization of immortal flows\, which generalizes the thick-thin de
 composition in dimension 3. We also obtain a backwards pseudolocality theo
 rem and discuss several other applications.\n
LOCATION:https://researchseminars.org/talk/caltechGT/7/
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