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SUMMARY:David Gontier (CERMICS\, Ecole Nationale des Ponts et Chaussées\,
  France)
DTSTART:20260217T140000Z
DTEND:20260217T150000Z
DTSTAMP:20260404T045822Z
UID:IAMP_seminars/188
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/IAMP_seminar
 s/188/">Keller estimates of the eigenvalues in the gap of Dirac operators<
 /a>\nby David Gontier (CERMICS\, Ecole Nationale des Ponts et Chaussées\,
  France) as part of One world IAMP mathematical physics seminar\n\n\nAbstr
 act\nThe Keller inequality is the Lp version of the well-known Lord Rayley
 gh problem: "What shape of drum produces the lowest note?”\, but this ti
 me\, the drum is a potential with fixed Lp norm. In the usual Schrödinger
  case\, was solved by Faber and Krahn around 1920\, and turns out to be eq
 uivalent to the Gagliardo-Niremberg inequality. However\, the usual techni
 ques do not apply to the Dirac case. \nIn this talk\, I will provide a nov
 el technique which allows to tackle the problem both for Schrödinger and 
 Dirac operators\, and which provides interesting numerical schemes for thi
 s optimization problem. I will mention several open problems related to th
 e Dirac case.\n
LOCATION:https://researchseminars.org/talk/IAMP_seminars/188/
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