Some remarks on multisymplectic geometry (or from Volterra to "higher" structures)
Appears in collection : 2023 - T2 - WS3 - Dg-manifolds in geometry and physics
The Hamilton-Volterra equations were derived by the end of the 19th century but their geometrisation took a long time, culminating in the dynamic Hamilton-DeDonder-Weyl equations. We illustrate geometry and dynamics by examples before discussing the question of observablesin this context.
