On vector bundle groupoids, principal bundles groupoids, their gauge group and their nerve

04.06.2021, 11:00  –  Online Seminar
Arbeitsgruppenseminar Analysis

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.
You are welcome to suggest speakers or topics for the forthcoming sessions.

You are welcome to invite your friends and colleagues to join us! If you wish to attend the talks,  please contact Sylvie Paycha paycha@math.uni-potsdam.de for the login details.