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SUMMARY:Closed Ricci Flows with Singularities Modeled on Asymptotically Co
 nical Shrinkers - Maxwell Stolarski (University of Warwick)
DTSTART:20230123T140000Z
DTEND:20230123T150000Z
UID:TALK195268@talks.cam.ac.uk
CONTACT:Zexing Li
DESCRIPTION:Shrinking Ricci solitons are Ricci flow solutions that self-si
 milarly shrink under the flow. Their significance comes from the fact that
  finite-time Ricci flow singularities are typically modeled on gradient sh
 rinking Ricci solitons. Here\, we shall address a certain converse questio
 n\, namely\, “Given a complete\, noncompact gradient shrinking Ricci sol
 iton\, does there exist a Ricci flow on a closed manifold that forms a fin
 ite-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 assumption is required\, and so the proof involves a
 n analysis of the Ricci flow as a nonlinear degenerate parabolic PDE syste
 m in its full complexity. We’ll also discuss applications to the (non-)u
 niqueness of weak Ricci flows through singularities.
LOCATION:CMS\, MR13
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