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SUMMARY:Upper bounds for the second nonzero eigenvalue of the Laplacian vi
 a folding and conformal volume - Alexandre Girouard (Université Laval)
DTSTART:20260323T140000Z
DTEND:20260323T150000Z
UID:TALK241120@talks.cam.ac.uk
DESCRIPTION:We prove an upper bound for the volume-normalized second nonze
 ro eigenvalue of the Laplace operator on closed Riemannian manifold\, in t
 erms of the conformal volume. This bound provides effective upper bound fo
 r a large class of manifolds\, thereby generalizing many known results.\n&
 nbsp\;\nThe proof uses the spherical cap folding mechanism originating in 
 work of Nadirashvili in combination&nbsp\;with the definition of the confo
 rmal volume of Li and Yau. This leads to very convenient admissible trial 
 functions for the min-max characterisation of the second non-zero eigenval
 ue.\n&nbsp\;\nThis is based on joint work with Mehdi Eddaoudi.&nbsp\;
LOCATION:Seminar Room 1\, Newton Institute
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