Vortrag am

Donnerstag, 18.6.2015

Konrad Waldorf, Greifswald

" Loop group geometry and gerbes "


Brylinski constructed a "transgression" functor that takes gerbes over a manifold to line bundles over the loop space of the manifold. This establishes a relation between higher-categorical, finite-dimensional geometry on the manifold, and ordinary, infinite-dimensional geometry on its loop space. I will talk about a group-version of this relation, where the manifold is a Lie group and the line bundles become central extensions of the loop group.