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SUMMARY:Haotian Wu (The University of Sydney)
DTSTART:20250508T130000Z
DTEND:20250508T140000Z
DTSTAMP:20260422T212606Z
UID:IGTP/1
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/IGTP/1/">Asy
 mptotic behavior of unstable perturbations of the Fubini–Study metric in
  Ricci flow</a>\nby Haotian Wu (The University of Sydney) as part of IUT s
 eminar in Geometry\, Topology and PDE (IGTP)\n\n\nAbstract\nThe Ricci flow
  can be regarded as a dynamical system on the space of Riemannian metrics.
  It is important to identify and study its fixed points\, which are genera
 lized Einstein metrics known as Ricci solitons. A prominent example of a R
 icci soliton is the Fubini–Study metric on complex projective space. Kr
 öncke has shown that the Fubini–Study metric is an unstable generalized
  stationary solution of Ricci flow. This raises an interesting question: W
 hat happens to Ricci flow solutions that start at arbitrarily small but un
 stable perturbations of the Fubini–Study metric? In a joint work with Ga
 rfinkle\, Isenberg and Knopf\, we carry out numerical simulations which in
 dicate Ricci flow solutions originating at unstable perturbations of the F
 ubini–Study metric develop local singularities modeled by the FIK shrink
 ing soliton discovered by Feldman\, Ilmanen and Knopf.\n\nhttps://zoom.us/
 join\nMeeting ID: 836 2536 5334\nPassword: 962501\n\nMeeting ID: 836 2536 
 5334\nPassword: 962501\n
LOCATION:https://researchseminars.org/talk/IGTP/1/
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BEGIN:VEVENT
SUMMARY:Panagiotis Gianniotis (The University of Athens)
DTSTART:20250522T133000Z
DTEND:20250522T143000Z
DTSTAMP:20260422T212606Z
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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