Officially the topics to cover are the following:

Lie groups on manifolds; Lie algebras; differential forms with values in a Lie algebra; fibre bundles; connection in a fibre bundle; curvature form. Gauge invariance; Maxwell and Yang-Mills equations; systems with spontaneous symmetry breakdown; Higgs mechanism; Hopf invariants; magnetic monopoles; characteristic classes; instantons. 

We will continue with where we left off on differential geometry in Phys 491 and boldly go as much as we can.