Statut  Confirmé 
Série  SEMCPHT 
Domaines  hepth 
Date  Mardi 18 Fevrier 2020 
Heure  11:00 
Institut  CPHT 
Salle  Salle Louis Michel, CPHT, Ecole Polytechnique 
Nom de l'orateur  Oblak 
Prenom de l'orateur  Blagoje 
Addresse email de l'orateur  
Institution de l'orateur  LPTHE 
Titre  Virasoro Berry Phases in the KdV Equation 
Résumé  I consider a model of fluid particle motion given by the reconstructed KdV equation on a circle. For travelling waves that are "uniformizable" in a suitable sense, the map that governs stroboscopic motion can be derived analytically. The particle's drift velocity, then, is essentially the Poincaré rotation number of that map, and has a geometric origin: it is the sum of a dynamical phase, a geometric/Berry phase, and an "anomalous phase". The last two phases are universal, as they follow entirely from the underlying Virasoro group structure. The Berry phase, in particular, is produced by a sequence of adiabatic conformal transformations due to the moving wave profile, and was previously found in twodimensional conformal field theories. 
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