Seminar talk, 16 April 2025

From Geometry of Differential Equations
Jump to navigation Jump to search

Speaker: Evgeny Ferapontov

Title: Lagrangian multiforms and dispersionless integrable systems

Abstract:
We demonstrate that interesting examples of Lagrangian multiforms appear naturally in the theory of multidimensional dispersionless integrable systems as (a) higher-order conservation laws of linearly degenerate PDEs in 3D, and (b) in the context of Gibbons-Tsarev equations governing hydrodynamic reductions of heavenly type equations in 4D.

Based on joint work with Mats Vermeeren.

References:
arXiv:2503.22615