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SUMMARY:Niky Kamran (Univ. McGill)
DTSTART:20260501T150000Z
DTEND:20260501T161500Z
DTSTAMP:20260513T193319Z
UID:CIRGET/166
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CIRGET/166/"
 >Logarithmic stability in the inverse Steklov problem on warped products</
 a>\nby Niky Kamran (Univ. McGill) as part of CRM - Séminaire du CIRGET / 
 Géométrie et Topologie\n\nLecture held in PK-5115.\n\nAbstract\nWe study
  the amount of information contained in the Steklov spectrum of some compa
 ct manifolds with connected boundary equipped with a warped product metric
 . Examples of such manifolds include deformed balls in R^d. We first show 
 that the Steklov spectrum determines uniquely the warping function and als
 o show that the approximate knowledge (in a given technical sense) of the 
 Steklov spectrum is enough to determine uniquely the warping function in a
  neighbourhood of the boundary. Second\, we provide logarithmic stability 
 estimates on the warping function from the Steklov spectrum. The key eleme
 nt of these stability results relies on a formula that\, roughly speaking\
 , connects the inverse data (the Steklov spectrum) to the Laplace transfor
 m of the difference of the two warping factors.\n
LOCATION:https://researchseminars.org/talk/CIRGET/166/
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