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Die folgenden Informationen sind noch nicht freigegeben und deshalb unverbindlich: Topological K-theory SemesterWiSe 2026 / 27 Lecturer Bastiaan Cnossen Type of course (Veranstaltungsart) Seminar German title Topologische K-Theorie Contents We will study topological K-theory, an invariant of topological spaces built out of vector bundles. Key properties are homotopy invariance, a form of excision, and Bott periodicity. We end the seminar with some classical applications: determining the precise number of linearly independent vector fields over spheres, and showing that the only real division algebras are the reals, the complex numbers, the quaternions and the octonions. Literature Allen Hatcher, Vector bundles and K-theory Recommended previous knowledge Analysis, linear algebra, first course in topology Time/Date Tuesday, 16-18 Location M009 Course homepage https://sites.google.com/view/bastiaan-cnossen/teaching/topological-k-theory (Disclaimer: Dieser Link wurde automatisch erzeugt und ist evtl. extern) Registration
BSem, MSem ECTS 4,5 |