2 problems

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Integrability conjecture for Lagrangian 1-form systems
Integrability conjecture. Any system of Lagrangians given by such a 1-form is integrable in the sense of multidimensional consistency, equivalently in the sense of commuting flows.…
Conjectureopencalogero-moser-systems integrable-systems lagrangian-multiformsarXiv posted 2 days ago
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Lagrangian multiform conjecture for the PGL(3)-invariant BSQ hierarchy Lagrangian
Let ${\cal L}$ be the $\mathrm{PGL}(3)$ -invariant Lagrangian defined in the paper, with independent variables $s,t$ , and let its Euler--Lagrange equations be the associated generat…
Conjectureopenintegrable-systems lagrangian-multiforms projective-geometryarXiv posted 2 days ago

Integrability conjecture for Lagrangian 1-form systems