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SUMMARY:Haotian Wu (University of Sydney)
DTSTART:20251126T230000Z
DTEND:20251127T000000Z
DTSTAMP:20260423T052923Z
UID:VSGS/121
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/VSGS/121/">A
 symptotic behavior of unstable perturbations of the Fubini–Study metric 
 in Ricci flow</a>\nby Haotian Wu (University of Sydney) as part of Virtual
  seminar on geometry with symmetries\n\n\nAbstract\nThe Ricci flow can be 
 regarded as a dynamical system on the space of Riemannian metrics. It is i
 mportant to identify and study its fixed points\, which are generalized Ei
 nstein metrics known as Ricci solitons. A prominent example of a Ricci sol
 iton is the Fubini–Study metric on complex projective space. Kröncke ha
 s shown that the Fubini–Study metric is an unstable generalized stationa
 ry solution of Ricci flow. This raises an interesting question: What happe
 ns to Ricci flow solutions that start at arbitrarily small but unstable pe
 rturbations of the Fubini–Study metric? In a joint work with Garfinkle\,
  Isenberg and Knopf\, we carry out numerical simulations which indicate Ri
 cci flow solutions originating at unstable perturbations of the Fubini–S
 tudy metric develop local singularities modeled by the FIK shrinking solit
 on discovered by Feldman\, Ilmanen and Knopf.\n
LOCATION:https://researchseminars.org/talk/VSGS/121/
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