Birs- 13w5059: Spectral Theory of Laplace and Schroedinger Operators

  1. Title:
    Nodal sets in conformal geometry

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  2. Title:
    Local geometry of the nodal sets of Laplace eigenfunctions

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  3. Title:
    A geometric uncertainty principle and Pleijel’s estimate

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  4. Title:
    Generic multiplicities of eigenvalues for families of operators

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  5. Title:
    Nodal count and Dirac points in the spectrum of graphene graphs

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    Recent advances in isoperimetric inequalities for eigenvalues

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  7. Title:
    On the spectrum of the Hodge Laplacian and the John ellipsoid

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  8. Title:
    Sharp inequalities for Steklov eigenvalues

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  9. Title:
    Existence and Regularity in the Oval Problem

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  10. Title:
    Behaviour of optimisers for the kth eigenvalue of the Laplacian

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  11. Title:
    Discussion and open problems session on Geometry of Eigenvalues

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  12. Title:
    Numerical analysis of spectral problems, validated numerics, and proof

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  13. Title:
    Complex spectra of self-adjoint linear operator pencils

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  14. Title:
    An isoperimetric inequality of Saint-Venant-type for a wedge-like membrane

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    Recent improvements of Berezin-Li-Yau type inequalities

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  16. Title:
    Stability estimates for the lowest eigenvalue of a Schrödinger operator

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  17. Title:
    Delocalization of eigenvectors on random regular graphs

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  18. Title:
    On magnetic wells in the semi-classical limit

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  19. Title:
    Nonlinear flows and rigidity results on compact manifolds

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  20. Title:
    Discussion and open problems session on Mathematical Physics

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