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SUMMARY:Eigenvalue optimisation in geometric analysis - Mikhail Karpukhin 
 (University College London)
DTSTART:20260206T140000Z
DTEND:20260206T144500Z
UID:TALK239860@talks.cam.ac.uk
DESCRIPTION:The study of sharp upper bounds for Laplacian eigenvalues unde
 r area constraints is a classical topic in spectral geometry. A key source
  of interest lies in the remarkable fact that metrics achieving equality i
 n such bounds correspond to metrics induced by minimal surfaces in spheres
 . Even more strikingly\, analogous connections between eigenvalues and nat
 ural geometric structures continue to emerge across diverse settings.\nIn 
 this talk\, I will highlight notable examples of these correspondences and
  discuss their implications for both spectral estimates and geometric anal
 ysis.
LOCATION:Seminar Room 1\, Newton Institute
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