Understanding of notions and techniques used in the framework of differential forms on manifold, fiber bundles theory with applications to gauge theories
Course Prerequisites
basic knowledge from undergraduate courses: calculus and linear algebra. Basic knowledge of differential geometry is useful but not essential
Teaching Methods
Blackboard lectures
Assessment Methods
oral exam
Contents
Differential forms on the Euclidean space and on smooth manifold, fiber bundles theory, connection for fiber bundles (vector and principal), de Rham cohomology