Lie 2-algebras infinitesimal actions and 2-plectic manifolds

par Philippe Bonneau (Metz)

vendredi 5 déc. 2025, 11:30 → 12:30 Europe/Paris

Fokko du Cloux (Bat. Braconnier)

We will give a definition of action of a Lie 2-algebra on a differential manifold generalising that of (infinitesimal) action of a Lie algebra. Then, modifying the usual (C. Rogers) notion of algebra of observables in multisymplectic geometry (and its Lie n-algebra structure), we will continue the generalisations to the notions of multisymplectic action, Hamiltonian action and comomentum map (Joint work with V. Chloup, A. Gammella and T. Wurzbacher)