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SUMMARY:Overdetermined problems and higher order mean curvatures: symmetry
  and stability results (a joint seminar with Spectral Geometry in the Clou
 ds) - Nunzia Gavitone (Università degli Studi di Napoli Federico II)
DTSTART:20260223T160000Z
DTEND:20260223T170000Z
UID:TALK242068@talks.cam.ac.uk
DESCRIPTION:This is a joint seminar with&nbsp\;Spectral Geometry in the Cl
 ouds&nbsp\;&nbsp\;https://spectralclouds.github.io/. \nIn this talk I will
  speak about a deep connection between Serrin&rsquo\;s symmetry result for
  Hessian operators and constant higher order mean curvature boundaries. Th
 e results I will describe are contained in a joint work with A.L. Masiello
 \, G. Paoli and G. Poggesi. Our analysis will not only provide new proofs 
 of the higher order Soap Bubble Theorem but also bring several benefits\, 
 including new interesting symmetry results and quantitative stability esti
 mates.
LOCATION:Seminar Room 2\, Newton Institute
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