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Computation of free boundary minimal surfaces via extremal Steklov eigenvalues

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GSTW03 - Interactions of geometric spectral theory with numerical methods and applications

Recently Fraser and Schoen showed that the solution of a certain extremal Steklov eigenvalue problem on a compact surface with boundary can be used to generate a free boundary minimal surface, i.e., a surface contained in the ball that has (i) zero mean curvature and (ii) meets the boundary of the ball orthogonally. In this talk, I’ll discuss numerical methods that use this connection to realize free boundary minimal surfaces.

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

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Average on weekdays: 9219.72882353 kWh crsd https://maths-cam-ac-uk.zoom.us/j/93515008077?pwd=NkZ5UGk2MTNueFhrb2c1RG96cFNPQT09

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