August 28, 2023 to September 1, 2023
Europe/Paris timezone

Maximal multiplicity of Laplacian eigenvalues in negatively curved surfaces

Aug 30, 2023, 3:00 PM
45m

Speaker

Cyril Letrouit

Description

I will present a joint work with Simon Machado (IAS) in which we make progress on a longstanding conjecture by Colin de Verdière: we obtain a sublinear bound on the maximal multiplicity of first Laplacian eigenvalues for negatively curved surfaces. For the proof, we take inspiration from arguments developed recently in the context of graphs of bounded degree.

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