BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Haotian Wu (The University of Sydney) DTSTART:20250508T130000Z DTEND:20250508T140000Z DTSTAMP:20260423T021606Z UID:IGTP/1 DESCRIPTION:Title: Asy mptotic behavior of unstable perturbations of the Fubini–Study metric in Ricci flow\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/ END:VEVENT END:VCALENDAR