Mathematics Colloquium

Tel Aviv University

Monday, December 12, 2016
Schreiber 006
:: MINT Distinguished Lecture ::
Nikolai Nadirashvili
Aix-Marseille Université
Inequalities for eigenvalues of Laplacian on surfaces

We discuss isoperimetric inequalities for eigenvalues of the Laplacian on two-dimensional Riemannian manifolds. We survey known results, starting with classical inequalities of Hersch and Li–Yau for the first nonzero eigenvalue on a sphere and a projective plane and their recent generalization on the higher eigenvalues.

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