BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Yuri Suris DTSTART:20240509T080000Z DTEND:20240509T090000Z DTSTAMP:20260423T010621Z UID:nmps/8 DESCRIPTION:Title: E. Noether's variational symmetries and pluri-Lagrangian systems\nby Yuri Suris as part of Nagoya Math-Phys Seminar\n\n\nAbstract\nWe analyze the r elation of the notion of a pluri-Lagrangian system\, which recently emerge d in the theory\nof integrable systems\, to the classical notion of variat ional symmetry\, due to E. Noether. For finite-dimensional (classical mech anical) systems we show that\, for any Lagrangian system with m commuting variational symmetries\, one can construct a pluri-Lagrangian 1-form in th e (m+1)-dimensional time\,\nwhose multi-time Euler-Lagrange equations coin cide with the original system supplied with m commuting\nevolutionary flow s corresponding to the variational symmetries. For two-dimensional hierarc hies of\nLagrangian PDEs\, we show that if the flow of each PDE is a varia tional symmetry of all others\, then there exists a pluri-Lagrangian 2-for m for the hierarchy. The corresponding multi-time Euler–Lagrange equatio ns coincide with the original system supplied with commuting evolutionary flows induced by the variational symmetries.\n LOCATION:https://researchseminars.org/talk/nmps/8/ END:VEVENT END:VCALENDAR