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SUMMARY:Upper bounds for Steklov eigenvalues of warped product manifolds. 
 - Katie Gittins (Durham University)
DTSTART:20260326T140000Z
DTEND:20260326T150000Z
UID:TALK241165@talks.cam.ac.uk
DESCRIPTION:In this talk we explore the interplay between the eigenvalues 
 of the Steklov problem and the geometry of the underlying manifold via geo
 metric upper bounds for the Steklov eigenvalues.\nWe present isoperimetric
 -type upper bounds for the Steklov eigenvalues of warped product manifolds
 . In addition\, we investigate the maximisation of the Steklov eigenvalues
  when the warping functions are subject to certain geometric constraints.\
 nTime-permitting\, we present results regarding upper bounds for the Stekl
 ov eigenvalues\, ratios\, and gaps in the particular case of balls with re
 volution-type metrics.\nThis is based on joint work with Jade Brisson\, Br
 uno Colbois\, and Alexandre Girouard.
LOCATION:Seminar Room 1\, Newton Institute
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