F11DT - AGQ: Differential Topology

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Aims

This course covers several fundamental topics in Geometry & Topology, providing a solid and broad foundation to the subject and its interactions with algebra and analysis. The course discusses the vector bundles, connections, principal bundles, characteristic classes, etc.

Syllabus

Learning outcomes

By the end of the course, students should be able to do the following:

Thoroughly understand the applications of differential topology to the local and global geometry of manifolds.
• Solve problems involving characteristic classes, vector bundles, differential forms, etc. from first principles.

Further details

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SCQF Level: 11

Credits: 15