IMPRESSUM   DATENSCHUTZ
	Fakultät für Mathematik	Universität Regensburg
Die folgenden Informationen sind noch nicht freigegeben und deshalb unverbindlich: Topological K-theory Semester WiSe 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 Organisational meeting/distribution of topics: End of the semester; see course homepage for updated information. Feel free to inform via email. Registration for course work/examination/ECTS: FlexNow Course work (Studienleistungen) Presentation: Giving a seminar talk of roughly 90 minutes Examination (Prüfungsleistungen) Detailed written report of the seminar talk Modules BSem, MSem ECTS 4,5