Parallel transport in categorified principal bundles
28 juin 2018 @ 14:15 – 15:15 – 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 […]