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SUMMARY:Mikhail Karpukhin (Caltech)
DTSTART:20220322T140000Z
DTEND:20220322T150000Z
DTSTAMP:20260423T040010Z
UID:BOWL/35
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/BOWL/35/">Op
 timization of Laplace and Steklov eigenvalues with applications to minimal
  surfaces</a>\nby Mikhail Karpukhin (Caltech) as part of B.O.W.L Geometry 
 Seminar\n\n\nAbstract\nThe study of optimal upper bounds for Laplace eigen
 values on closed surfaces is a classical problem of spectral geometry goin
 g back to J. Hersch\, P. Li and S.-T. Yau. Its most fascinating feature is
  the connection to the theory of minimal surfaces in spheres. Optimization
  of Steklov eigenvalues is an analogous problem on surfaces with boundary.
  It was popularised by A. Fraser and R. Schoen\, who discovered its connec
 tion to the theory of free boundary surfaces in Euclidean balls. Despite m
 any widely-known empiric parallels\, an explicit link between the two prob
 lems was discovered only in the last two years. In the present talk\, we w
 ill show how Laplace eigenvalues can be recovered as certain limits of Ste
 klov eigenvalues and discuss the applications of this construction to the 
 geometry of minimal surfaces. The talk is based on joint works with D. Ste
 rn.\n
LOCATION:https://researchseminars.org/talk/BOWL/35/
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