Vector Bundles in Geometry and Analysis
Course topics
- vector bundles and K-groups of topological spaces
- Bott’s Periodicity theorem and applications to division algebras
- Index of Fredholm operators and K-theory
- If time permits: smooth manifolds, DeRham cohomology, Chern classes, Elliptic operators, formulation of Atiyah-Singer index theorem, relations to Gauss-Bonnet theorem
Course Information
- University course catalogue:
- 201.2.5051
- Level:
- Graduate
- Credits:
- 2.0