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Alfonso Garmendia (I’Institut d’Estudis Catalans, Barcelona)

Title: Frame PB-groupoid of a VB-groupoid

Abstract: Principal bundles are essential objects in gauge theories. A basic example of a principal bundle is the frames (or pointwise ordered basis) of a vector bundle on a manifold. Using this principal bundle one can relate geometric connections, reduction and different structures on the underlying manifold. In this talk, we explore properties of some special principal bundle. This is the set of some frames on the tangent vector bundle TG, where G is not only a manifold, but the space of arrows of a Lie groupoid, i.e. TG is a (vector bundle or) VB groupoid. This principal bundle will also be a PB groupoid.

Talk – Slides

Talk – Video