Fabrizio Zanello (Universität Potsdam)
The mathematical toolbox of multysimplectic geometry was introduced in order to generalize the symplectic formulation of classical mechanics to Lagrangian field theories. After a substantial body of foundational works for first order field theories, though, the program came to a standstill due to technical difficulties. In this talk we give an overview of the motivations, techniques and limitations of the traditional results and present some of the core ideas of a new approach, recently proposed by Blohmann, to overcome those technical difficulties. The talk is based on an ongoing joint project with Antonio Miti.
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