BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Diogo Oliveira e Silva (Instituto Superior Técnico)
DTSTART:20220404T160000Z
DTEND:20220404T170000Z
DTSTAMP:20260423T005722Z
UID:OARS/41
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OARS/41/">Sh
 arp restriction theory: rigidity\, stability\, and symmetry breaking</a>\n
 by Diogo Oliveira e Silva (Instituto Superior Técnico) as part of OARS On
 line Analysis Research Seminar\n\n\nAbstract\nWe report on recent progress
  concerning two distinct problems in sharp restriction theory to the unit 
 sphere.\nFirstly\, the classical estimate of Agmon-Hörmander for the adjo
 int restriction operator to the sphere is in general not saturated by cons
 tants. We describe the surprising intermittent behaviour exhibited by the 
 optimal constant and the space of maximizers\, both for the inequality its
 elf and for a stable form thereof.\nSecondly\, the Stein-Tomas inequality 
 on the sphere is rigid in the following rather strong sense: constants con
 tinue to maximize the weighted inequality as long as the perturbation is s
 ufficiently small and regular\, in a precise sense to be discussed. We pre
 sent several examples highlighting why such assumptions are natural\, and 
 describe some consequences to the (mostly unexplored) higher dimensional s
 etting.\nThis talk is based on joint work with E. Carneiro and G. Negro.\n
LOCATION:https://researchseminars.org/talk/OARS/41/
END:VEVENT
END:VCALENDAR