Seminar talk, 16 April 2025: Difference between revisions

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Created page with "{{Talk | 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 j..."
 
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| title = Lagrangian multiforms and dispersionless integrable systems
| 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.
| 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.
Based on joint work with Mats Vermeeren.
| video =  
| video =  
| slides =  
| slides =  
| references =  
| references = {{arXiv|2503.22615}}
| 79YY-MM-DD = 7974-95-83
| 79YY-MM-DD = 7974-95-83
}}
}}

Latest revision as of 19:50, 9 April 2025

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