BEGIN:VCALENDAR VERSION:2.0 PRODID:-//wp-events-plugin.com//6.4.7.2//EN TZID:Europe/Paris X-WR-TIMEZONE:Europe/Paris BEGIN:VEVENT UID:0-763@lptms.universite-paris-saclay.fr DTSTART;TZID=Europe/Paris:20210309T110000 DTEND;TZID=Europe/Paris:20210309T120000 DTSTAMP:20210223T173106Z URL:http://www.lptms.universite-paris-saclay.fr/seminars/seminaire-du-lptm s-blagoje-oblak-sorbonne-universite/ SUMMARY:Séminaire du LPTMS : Blagoje Oblak (Sorbonne Université) - LPTMS (100% online seminar) - 9 Mar 21 11:00 DESCRIPTION:Berry Phases and Drift in the KdV Equation\nBlagoje Oblak (Sorb onne Université)\n\nOnline seminar --- ZOOM Meeting ID: 952 7571 4537 -- Password: ask L. Mazza and D. Petrov --\n\nI consider a model of fluid mot ion closely related to the Korteweg-de Vries equation that governs shallow water waves. Upon reformulating this model as a geodesic in an infinite-d imensional group\, the fluid's drift velocity can be recast as an ergodic rotation number. The latter is sensitive to Berry phases\, inspired by con formal field theory and gravity\, that are produced by adiabatic deformati ons. Along the way\, I show that the topology of coadjoint orbits of wave profiles affects drift in a dramatic manner: orbits that are not homotopic to a point yield quantized rotation numbers. These arguments rely on the general structure of Euler equations\, suggesting the existence of other a pplications of infinite-dimensional geometry to nonlinear waves. CATEGORIES:seminars LOCATION:LPTMS (100% online seminar)\, LPTMS - Bâtiment Pascal n° 530 rue André Rivière - Université Paris-Saclay\, Orsay\, 91405\, France X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=LPTMS - Bâtiment Pascal n ° 530 rue André Rivière - Université Paris-Saclay\, Orsay\, 91405\, Fr ance;X-APPLE-RADIUS=100;X-TITLE=LPTMS (100% online seminar):geo:0,0 END:VEVENT BEGIN:VTIMEZONE TZID:Europe/Paris X-LIC-LOCATION:Europe/Paris BEGIN:STANDARD DTSTART:20201025T020000 TZOFFSETFROM:+0200 TZOFFSETTO:+0100 TZNAME:CET END:STANDARD END:VTIMEZONE END:VCALENDAR