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.

mathematical physicsanalysis of PDEsdifferential geometry

Audience: researchers in the topic

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Geometry of differential equations seminar