Vector bundle and principal bundle correspondence for groupoids (séance exceptionnelle)

Date/heure
18 février 2026
14:15 - 15:15

Lieu
Salle de séminaires Metz

Oratrice ou orateur
Alfonso Garmendia (Dijon)

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


Résumé

This talk, based on joint work with Francesco Cattafi, presents an extension of the classical correspondence between vector bundles and principal bundles to the Lie groupoid setting. To achieve this, we introduced the notion of a PB-groupoid with a structural Lie 2-groupoid, establishing a correspondence between VB-groupoids and PB-groupoids. This framework enhances our understanding of VB-groupoids, which play a fundamental role in Poisson geometry, and provides a natural perspective on the tangent space of smooth symmetries.