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SUMMARY:Topology of shallow-water waves and Levinson's theorem
DTSTART;VALUE=DATE-TIME:20200522T120000Z
DTEND;VALUE=DATE-TIME:20200522T130000Z
DTSTAMP;VALUE=DATE-TIME:20200711T120311Z
UID:indico-event-5820@indico.math.cnrs.fr
DESCRIPTION: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 celebrated bulk-edge correspondence explains the origin of
Kelvin waves that propagates in the Earth's ocean\, towards the east and
along the equator\, with a remarkable stability. The odd viscous term is
a small-scale regularization that leads to a well-defined Chern number fo
r this continuous model where momentum space is unbounded. Equatorial wave
s then appear as interface modes between two hemispheres with a different
topology. However\, in presence of a sharp boundary\, there is a surprisin
g mismatch in the bulk-edge correspondence: the number of edge modes depen
ds 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 Mic
hele Graf and Hansueli Jud.\n\nhttps://indico.math.cnrs.fr/event/5820/
LOCATION:Institut Camille Jordan Zoom
URL:https://indico.math.cnrs.fr/event/5820/
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