Nonassociative generalization of Lie groupoids

par Mme Zohreh Ravanpak (University of Timisoara)

mardi 5 déc. 2023, 10:00 → 10:40 Europe/Paris

Salle de séminaires 2 (sous-sol) (Braconnier)

Smooth Loops are a generalization of Lie groups by dropping associativity. They are well-established objects in mathematics and they found several applications in physics and geometry. In this talk, we extend this notion to smooth loopoids, nonassociative analogs of Lie groupoids. Our motivation comes from discrete mechanics where Lie groupoids play an important role.

This is based on joint work with J. Grabowski