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SUMMARY:Diogo Oliveira e Silva (Instituto Superior Técnico\, Lisboa)
DTSTART:20220328T190000Z
DTEND:20220328T200000Z
DTSTAMP:20260423T021416Z
UID:paw/48
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/paw/48/">Sha
 rp restriction theory: rigidity\, stability\, and symmetry breaking</a>\nb
 y Diogo Oliveira e Silva (Instituto Superior Técnico\, Lisboa) as part of
  Probability and Analysis Webinar\n\n\nAbstract\nWe report on recent progr
 ess concerning two distinct problems in sharp restriction theory to the un
 it sphere.\nFirstly\, the classical estimate of Agmon-Hörmander for the a
 djoint restriction operator to the sphere is in general not saturated by c
 onstants. We describe the surprising intermittent behaviour exhibited by t
 he optimal constant and the space of maximizers\, both for the inequality 
 itself and for a stable form thereof.\nSecondly\, the Stein-Tomas inequali
 ty on the sphere is rigid in the following rather strong sense: constants 
 continue to maximize the weighted inequality as long as the perturbation i
 s sufficiently small and regular\, in a precise sense to be discussed. We 
 present several examples highlighting why such assumptions are natural\, a
 nd describe some consequences to the (mostly unexplored) higher dimensiona
 l setting.\nThis talk is based on joint work with E. Carneiro and G. Negro
 .\n
LOCATION:https://researchseminars.org/talk/paw/48/
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