2017–18–B

Prof. Eitan Sayag

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

University course catalogue: 201.2.5051