ERC Advanced Grant · 2022
Integrating Spectral and Geometric data on Moduli Space
Each physical object possesses specific frequencies of vibrations, called its “eigenfrequencies”, at which it enters in resonance under an external stimulus. In mathematical terms these frequencies are the “eigenvalues” of a linear operator; they form the “spectrum” of the object. Spectral geometry is concerned with understanding how the spectrum of an object, as well as the modes of vibration (eigenfunctions) associated to each eigenfrequency, are related to its geometric shape. This is a wide area of research, with applied and interdisciplinary aspects (electromagnetic waves, vibrating solids, seismic waves, wave functions in quantum mechanics... ), but also involving very theoretical…
From the public funding record at EU CORDIS. Describes the funded project, not the reviews below.