Alfonso Garmendia (Uni Potsdam)
We consider groupoids in the category of principal bundles, which we call principal bundles groupoids. We build their ajoint bundle groupoids which we interpret as vector bundle groupoids, widely discussed in the literature. We describe their nerves, which are simplicial objects in the category of principal bundles. Applying this construction to pair groupoids enables us to define the gauge group of the nerve of a gauge groupoid as the gauge group of a principal bundle.
Forthcoming speakers are Konrad Waldorf on June 11th, Lashi Bandara on June 18th, Bernadette Lessel on July 2nd, Ihsane Malass on July 9th.
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