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The variational principle for Lagrangian 1-forms

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Discrete Integrable Systems

We present the recently proposed variational principle for Lagrangian 1-form structures both discrete and continuous in the space of multi-time variables, in which the action functionals depend not only on the dynamical (dependent) variables of the system but also on the (parametrised) curves in the space of (independent) time-variables which define the dynamics in terms of multitime fl ows. It was conjectured that the only admissible Lagrangians allowing such structures are the integrable ones.

This talk is part of the Isaac Newton Institute Seminar Series series.

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