Poisson bundles over unordered configurations

Date/heure
10 juillet 2025
14:00 - 15:00

Lieu
Amphithéâtre Hedy Lamarr – UFR MIM – Metz

Oratrice ou orateur
Alessandra Frabetti (Lyon)

Catégorie d'évènement
Séminaire Théorie de Lie, Géométrie et Analyse


Résumé

We construct a Poisson algebra bundle whose distributional sections are suitable to represent multilocal observables in classical field theory. To do this, we work with vector bundles over the unordered configuration space of a manifold M and consider the structure of a 2-monoidal category given by the usual (Hadamard) tensor product of bundles and a new (Cauchy) tensor product which provides a symmetrized version of the usual external tensor product of vector bundles on M.