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Homogenisation as control -- Mimicking eigenvalue problems

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GSTW02 - Geometry of eigenvalues

Homogenisation is a powerful tool from applied mathematics which can be used to probe the boundary of the space of parameters for which a problem is defined. In this talk, I will discuss some of the ways in which this tool has been applied to spectral geometry in the last 5 years, in particular how the behaviour of one eigenvalue problem can mimick that of a different one. Examples include optimal bounds for Steklov eigenvalues, flexibility of the Schrödinger and Steklov eigenvalue optimisation problem, approximation of minimal surfaces, etc.

This talk is part of the Isaac Newton Institute Seminar Series series.

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