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Lower bounds for the Steklov eigenvalues of a Riemannian manifold

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GSTW02 - Geometry of eigenvalues

On a connected compact Riemannian manifold M with b boundary components, I will explain how to obtain geometric lower bounds for the first nonzero Steklov eigenvalue. These lower bounds are related to the Laplace eigenvalues on the boundary of M and on the first positive eigenvalue of the Neumann problem for the Laplacian on M. This is a joint work with T. Chakradhar and A. Hassannezhad.

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

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