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shupp_01

Oberseminar Differentialgeometrie: Jean Lagacé (University of Bristol), Vortrag: Spectral geometry, minimal surfaces and homogenisation

Monday, 25.10.2021 16:15 per ZOOM: Link to Zoom info

Mathematik und Informatik

Free boundary minimal surfaces are a notoriously elusive object in geometric analysis. From 2011, Fraser and Schoen's research program found a relationship between free boundary minimal surfaces in unit balls and metrics which maximise the first nontrivial Steklov eigenvalue. In this talk, I will explain how we can adapt homogenisation theory, a branch of applied mathematics, to a geometric setting in order to obtain surfaces with first Steklov eigenvalue as large as possible, and how it leads to the existence of free boundary minimal surfaces which were previously thought not to exist.



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