The holonomy of principal orbibundle connections

par Sebastian Daza (Coimbra)

vendredi 21 nov. 2025, 14:00 → 15:00 Europe/Paris

Fokko du Cloux (Bat. Braconnier)

In this talk I will show how to extend the notion of holonomy of principal bundle connections to orbifolds. To do that, first we will talk about principal orbibundles and give a characterization of them in terms of group actions. After that, we will talk about connections, horizontal lifts and their relation with the orbifold singularities. To conclude this talk, we will talk about the holonomy group. I will show some ideas of how to proof that it is a Lie group, the reduction theorem and the Ambrose-Singer theorem.