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CATEGORIES:Partial Differential Equations seminar
SUMMARY:Closed Ricci Flows with Singularities Modeled on A
symptotically Conical Shrinkers - Maxwell Stolarsk
i (University of Warwick)
DTSTART;TZID=Europe/London:20230123T140000
DTEND;TZID=Europe/London:20230123T150000
UID:TALK195268AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/195268
DESCRIPTION:Shrinking Ricci solitons are Ricci flow solutions
that self-similarly shrink under the flow. Their s
ignificance comes from the fact that finite-time R
icci flow singularities are typically modeled on g
radient shrinking Ricci solitons. Here\, we shall
address a certain converse question\, namely\, “Gi
ven a complete\, noncompact gradient shrinking Ric
ci soliton\, does there exist a Ricci flow on a cl
osed manifold that forms a finite-time singularity
modeled on the given soliton?” We’ll discuss work
that shows the answer is yes when the soliton is
asymptotically conical. No symmetry or Kahler assu
mption is required\, and so the proof involves an
analysis of the Ricci flow as a nonlinear degenera
te parabolic PDE system in its full complexity. We
’ll also discuss applications to the (non-)uniquen
ess of weak Ricci flows through singularities.
LOCATION:CMS\, MR13
CONTACT:Zexing Li
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