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SUMMARY:Richard Bamler (Berkeley)
DTSTART:20210309T170000Z
DTEND:20210309T180000Z
DTSTAMP:20260423T005653Z
UID:BOWL/17
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/BOWL/17/">Co
 mpactness and partial regularity theory of Ricci flows in higher dimension
 s</a>\nby Richard Bamler (Berkeley) as part of B.O.W.L Geometry Seminar\n\
 n\nAbstract\nWe present a new compactness theory of Ricci flows. This theo
 ry states that any sequence of Ricci flows that is pointed in an appropria
 te 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 obta
 in a stratification of the singular set with optimal dimensional bounds de
 pending on the symmetries of the tangent flows. Our methods also imply the
  corresponding quantitative stratification result and  the expected $L^p$-
 curvature bounds.\n\nAs an application we obtain a description of the sing
 ularity formation at the first singular time and a long-time characterizat
 ion of immortal flows\, which generalizes the thick-thin decomposition in 
 dimension 3. We also obtain a backwards pseudolocality theorem and discuss
  several other applications.\n
LOCATION:https://researchseminars.org/talk/BOWL/17/
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