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SUMMARY:Optimisation of Steklov transmission eigenvalues and minimal surfa
 ces - Alain Didier Noutchegueme (Université de Montréal)
DTSTART:20260204T140000Z
DTEND:20260204T143000Z
UID:TALK239815@talks.cam.ac.uk
DESCRIPTION:Consider a curve on a closed surface endowed with a Riemannian
  metric. The Steklov transmission problem is to find continuous functions 
 which are harmonic away from the curve\, and such that the jump of the nor
 mal derivative across the curve is proportional to the value of the functi
 on. Such functions are called Steklov transmission eigenfunctions\, and th
 e corresponding proportionality coefficients are called Steklov transmissi
 on eigenvalues. We will discuss isoperimetric inequalities for these eigen
 values and highlight some similarities and differences compared to the usu
 al Steklov case\, in two main cases : the uncontrained setting\, and the c
 ase where the metric are invariant under the action of some group. The tal
 k is based on a joint work with Mikhail Karpukhin (UCL).
LOCATION:Seminar Room 1\, Newton Institute
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