Date/heure
28 juin 2018
14:15 - 15:15
Oratrice ou orateur
Konrad Waldorf
Catégorie d'évènement Séminaire Théorie de Lie, Géométrie et Analyse
Résumé
Categorified principal bundles are bundles whose fibres are Lie groupoids, on which a monoidal Lie groupoid (« Lie 2-group ») acts. They are global, geometric representatives of Giraud’s non-abelian cohomology. I will talk about connections on categorified principal bundles; these realize the Breen-Messing differential refinement of non-abelian cohomology. I will explain a mechanism of parallel transport, which goes very nicely with the fibrewise Lie groupoid structure. For example, the parallel transport along a path is a Morita equivalence between the fibres over its end points.