ERC Starting Grant · 2025
Eigenvalue optimisation and Minimal surfaces
This project is positioned on the interface between spectral theory and geometric analysis, and is concerned with the relation between certain analytic invariants of objects (called spectra) and the shape (or geometry) of these objects. A classical example of a spectrum is a Laplacian spectrum. It is a sequence of numbers encoding the information about many physical properties of an object such as elasticity, heat and sound propagations and many others. Specifically, this project deals with the geometry of special shapes such as soap films. The geometry of soap films (the so-called minimal surfaces) is a central subject of modern geometric analysis with applications far beyond the one…
From the public funding record at EU CORDIS. Describes the funded project, not the reviews below.