Seminar talk, 5 April: Difference between revisions
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| title = Lagrangian formalism and the intrinsic geometry of PDEs | | title = Lagrangian formalism and the intrinsic geometry of PDEs | ||
| abstract = This report is an attempt to answer the following question. Where exactly does a differential equation contain information about its variational nature? Apparently, in the general case, the concept of a presymplectic structure as a closed variational 2-form may not be sufficient to describe variational principles in terms of intrinsic geometry. I will introduce the concept of an internal Lagrangian and relate it to the Vinogradov C-spectral sequence. | | abstract = This report is an attempt to answer the following question. Where exactly does a differential equation contain information about its variational nature? Apparently, in the general case, the concept of a presymplectic structure as a closed variational 2-form may not be sufficient to describe variational principles in terms of intrinsic geometry. I will introduce the concept of an internal Lagrangian and relate it to the Vinogradov C-spectral sequence. | ||
| video = | | video = https://video.gdeq.net/GDEq-zoom-seminar-20230405-Konstantin_Druzhkov.mp4 | ||
| slides = [[Media:Lagr_form_int_geom.pdf|Lagr_form_int_geom.pdf]] | | slides = [[Media:Lagr_form_int_geom.pdf|Lagr_form_int_geom.pdf]] | ||
| references = {{arXiv|2211.15179}} | | references = {{arXiv|2211.15179}} | ||
| 79YY-MM-DD = 7976-95-94 | | 79YY-MM-DD = 7976-95-94 | ||
}} | }} | ||
Revision as of 22:40, 5 April 2023
Speaker: Konstantin Druzhkov
Title: Lagrangian formalism and the intrinsic geometry of PDEs
Abstract:
This report is an attempt to answer the following question. Where exactly does a differential equation contain information about its variational nature? Apparently, in the general case, the concept of a presymplectic structure as a closed variational 2-form may not be sufficient to describe variational principles in terms of intrinsic geometry. I will introduce the concept of an internal Lagrangian and relate it to the Vinogradov C-spectral sequence.
Video
Slides: Lagr_form_int_geom.pdf
References:
arXiv:2211.15179