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SUMMARY:Panagiotis Gianniotis (The University of Athens)
DTSTART:20250522T133000Z
DTEND:20250522T143000Z
DTSTAMP:20260423T004513Z
UID:IGTP/2
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/IGTP/2/">Spl
 itting maps in Type I Ricci flows</a>\nby Panagiotis Gianniotis (The Unive
 rsity of Athens) as part of IUT seminar in Geometry\, Topology and PDE (IG
 TP)\n\n\nAbstract\nHarmonic almost splitting maps are an indispensable too
 l in the\nstudy of the singularity structure of non-collapsed Ricci limit 
 spaces. In\nfact\, by recent work of Cheeger-Jiang-Naber the singular stra
 tification is\nrectifiable\, and almost splitting maps are used to constru
 ct bi-Lipschitz\ncharts of the singular strata. For this\, it is crucial t
 o understand how a\nsplitting map may degenerate at small scales\, and whe
 n it doesn’t.\n\nIn this talk we will discuss similar issues for a parab
 olic analogue of\nalmost splitting maps\, in the context of the Ricci Flow
 \, and present some\nnew results regarding the existence and small scale b
 ehavior of almost\nsplitting maps in a Ricci flow with Type I curvature bo
 unds. We will also\ndiscuss how these results relate to a conjecture of Pe
 relman on the\nboundedness of the diameter of a 3d Ricci flow developing a
  finite time\nsingularity\, as we approach the singular time.\n\nlink: htt
 ps://meet.google.com/wha-yopd-trc\n
LOCATION:https://researchseminars.org/talk/IGTP/2/
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