BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Robin Neumayer (Northwestern University) DTSTART:20210329T160000Z DTEND:20210329T165000Z DTSTAMP:20260423T010251Z UID:anpdews/56 DESCRIPTION:Title: Quantitative stability for minimizing Yamabe metrics\nby Robin Neumay er (Northwestern University) as part of HA-GMT-PDE Seminar\n\n\nAbstract\n The Yamabe problem asks whether\, given a closed Riemannian manifold\, one can find a conformal metric of constant scalar curvature (CSC). An affirm ative answer was given by Schoen in 1984\, following contributions from Ya mabe\, Trudinger\, and Aubin\, by establishing the existence of a function that minimizes the so-called Yamabe energy functional\; the minimizing fu nction corresponds to the conformal factor of the CSC metric.\n\n\nWe addr ess the quantitative stability of minimizing Yamabe metrics. On any closed Riemannian manifold we show—in a quantitative sense—that if a functio n nearly minimizes the Yamabe energy\, then the corresponding conformal me tric is close to a CSC metric. Generically\, this closeness is controlled quadratically by the Yamabe energy deficit. However\, we construct an exam ple demonstrating that this quadratic estimate is false in the general. Th is is joint work with Max Engelstein and Luca Spolaor.\n LOCATION:https://researchseminars.org/talk/anpdews/56/ END:VEVENT END:VCALENDAR