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Statut |
Confirmé |
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Série |
TQM |
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Domaines |
cond-mat.mes-hall,math-ph,physics.ao-ph,physics.flu-dyn |
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Date |
Jeudi 14 Octobre 2021 |
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Heure |
14:00 |
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Institut |
LPTHE |
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Salle |
LPTHE library (corridor 13-14, 4th floor) |
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Nom de l'orateur |
Tauber |
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Prenom de l'orateur |
Clément |
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Addresse email de l'orateur |
clement [dot] tauber [at] math [dot] unistra [dot] fr |
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Institution de l'orateur |
IRMA strasbourg |
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Titre |
Topological indices for shallow-water waves |
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Résumé |
In this talk, I will apply tools from topological insulators to a fluid dynamics problem: the rotating shallow-
water wave model with odd viscosity. The bulk-edge correspondence explains the presence of remarkable
stable waves propagating towards the east along the equator and observed in some Earth oceanic layers.
The odd viscous term is a small-scale regularization that provides a well defined Chern number for this
continuous model where momentum space is unbounded. Equatorial waves then appear as interface
modes between two hemispheres with a different topology. However, in presence of a sharp boundary
there is a surprising mismatch in the bulk-edge correspondence: the number of edge modes depends on
the boundary condition. I will explain the origin of such a mismatch using scattering theory and Levinson’s
theorem. This talk is based on a series of joint works with Pierre Delplace, Antoine Venaille, Gian Michele
Graf and Hansueli Jud. |
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Numéro de preprint arXiv |
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Commentaires |
Zoom link:
https://us06web.zoom.us/j/84591143939?pwd=TnVteWVMTmtBQ1NNd3BDTklZOXVadz09
meeting ID : 845 9114 3939
password : 541621 |
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Fichiers attachés |
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