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InSpeGMoS investigates the relationship between the geometric shape of hyperbolic surfaces and their vibrational properties. The project aims to develop new mathematical techniques to understand spectral phenomena and their implications across various scientific fields.
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 o…
UNIVERSITE DE STRASBOURG
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