– Europe/Lisbon
Room P3.10, Mathematics Building — Online
Leander Stecker, Instituto Superior Técnico (CAMGSD), Universidade de Lisboa
A gentle Introduction to Holonomy
A lack of coordinates makes differentiating vector fields on manifolds depending on a choice of connection. We discuss how most connections introduce curvature and experience it first hand. We discuss how curvature leads to holonomy. For Riemannian manifolds we introduce the classification of holonomy groups due to Berger and deRham. If time permits we conclude with submersion results in the case of non-vanishing skew-torsion.