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SUMMARY:Jade Brisson (Université de Neuchâtel)
DTSTART:20250219T180000Z
DTEND:20250219T190000Z
DTSTAMP:20260423T021442Z
UID:VSGS/106
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/VSGS/106/">U
 pper bounds\, spectral ratios and spectral gaps for Steklov eigenvalues of
  warped products</a>\nby Jade Brisson (Université de Neuchâtel) as part 
 of Virtual seminar on geometry with symmetries\n\n\nAbstract\nIn the first
  part of the talk\, we investigate the Steklov spectrum of the warped prod
 uct $[0\,L]\\times_h \\Sigma$ equipped with the metric $dt^2+h(t)^2g_\\Sig
 ma$\, where $\\Sigma$ is a compact surface. We find sharp upper bounds for
  the Steklov eigenvalues in terms of the eigenvalues of the Laplacian on $
 \\Sigma$. In particular\, we apply our method to the case of metric of rev
 olution on the 3-dimensional ball and we obtain a sharp estimate on the sp
 ectral gap between two consecutive Steklov eigenvalues.\n\nIn the second p
 art\, we investigate the spectral ratios as well as spectral gaps for high
 er order Steklov eigenvalues of Riemannian manifolds with revolution-type 
 metrics. This is based on joint works with Bruno Colbois and Katie Gittins
 .\n
LOCATION:https://researchseminars.org/talk/VSGS/106/
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