Undervisning

Målgrupp

Optional course.

Master's Programme in Mathematics and Statistics is responsible for the course.

The course belongs to the Mathematics and Applied mathematics module.

The course is available to students from other degree programmes.

Tidigare studier eller kunskaper

Linear algebra I & II, Algebra I, Vector analysis, Topology I & II

Kunskapsmål

Basic homotopy theory and theory of vector bundles

Timing

Recommended time/stage of studies for completion: 1. or 2. year

Term/teaching period when the course will be offered: varying

Innehåll

Homotopy theory and the fundamental group; basic theory of differentiable manifolds, tangent bundles and more generally vector bundles; homotopy classification of vector bundles

Aktiviteter och undervisningsmetoder som stöder lärandet

Lectures and exercise classes

Studiematerial

Lecture notes; J. Milnor, J. Stasheff: Characteristic classes; D. Husemoller: Fibre bundles

Bedömningsmetoder och kriterier

Exam and excercises, Course will be graded with grades 1-5

Studieavsnittets form

Exam, other methods will be described later