3pm - 4pm
Tuesday 24 October 2017

Spectral inequalities on the sphere

Alexej Ilyin (Keldysh, Moscow) will be speaking.

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We prove Berezin--Li--Yau inequalities for the Dirichlet and Neumann eigenvalues on domains on the (d-1)- sphere. On the two dimensional sphere we prove Lieb--Thirring inequalities for scalar and vector functions both on the whole sphere and on proper domains with Dirichlet boundary conditions.