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Recent advances in shape optimisation of Laplace eigenvalues

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No logo availableBanff International Research Station (BIRS) for Mathematical Innovation and Discovery
 Karpukhin, Mikhail

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Recent advances in shape optimisation of Laplace eigenvalues
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22
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In recent years the subject of sharp inequalities for Laplace eigenvalues has received a lot of attention, in particular, due to its connection with minimal surfaces in spheres. In this talk we will explain this connection and give an overview of some recent estimates for Laplace eigenvalues on Riemannian surfaces.
Spectral Geometry: Theory, Numerical Analysis and Applications (18w5090)13 / 22