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Lecture
Are you an EPFL student looking for a semester project?
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This lecture covers the background on symplectic geometry, focusing on symplectic manifolds, canonical symplectic structures, tautological 1-forms, and symplectic vector fields. The content includes Darboux theorems, symplectic forms, volume forms, and Lie derivatives. The lecture also delves into symplectic manifolds' properties, such as closed 2-forms and preserving symplectic structures under different transformations.
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