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An isoperimetric inequality for the second Neumann eigenvalue on the sphere

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GSTW02 - Geometry of eigenvalues

We prove that the geodesic disks are the unique maximisers of the fist non-trivial Neumann eigenvalue among all simply connected domains of the 2-dimensional sphere of fixed area. Joint work with A. Savo.

This talk is part of the Isaac Newton Institute Seminar Series series.

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