From gas giant planets to the spectral theory of subelliptic Laplacians | Vidéo | Carmin.tv

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From gas giant planets to the spectral theory of subelliptic Laplacians

By Emmanuel Trélat

Appears in collection : Frontiers in Sub-Riemannian Geometry / Aux frontières de la géométrie sous-riemannienne

This is a work with Yves Colin de Verdière, Charlotte Dietze and Maarten De Hoop, motivated by recent works by M. De Hoop on inverse problems for sound wave propagation in gas giant planets. On such planets, the speed of sound is isotropic and tends to zero at the surface. Geometrically, this corresponds to a Riemannian manifold with a boundary whose metric blows up near the boundary. With appropriate variable changes, we can reduce the study of the Laplacian?Beltrami to that of a kind of sub-Riemannian Laplacian. In this talk, I will explain how to approach the spectral analysis of such operators, and in particular how to calculate WeylÕs law.

Information about the video

Date of recording 28/11/2024
Date of publication 06/12/2024
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers, Graduate Students
Director(s) Guillaume Hennenfent
Format MP4

Citation data

DOI 10.24350/CIRM.V.20272503
Cite this video Trélat, Emmanuel (28/11/2024). From gas giant planets to the spectral theory of subelliptic Laplacians. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.20272503
URL https://dx.doi.org/10.24350/CIRM.V.20272503

Domain(s)

Bibliography

DE HOOP, Maarten V., ILMAVIRTA, Joonas, KYKKÄNEN, Antti, et al. Geometric inverse problems on gas giants. arXiv preprint arXiv:2403.05475, 2024. - https://doi.org/10.48550/arXiv.2403.05475

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