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Characteristic classes Semester SoSe 2026
Lecturer Sil Linskens
Type of course (Veranstaltungsart) Seminar
German title Charakteristische Klassen
Contents In this seminar we will introduce the beautiful theory of characteristic classes, following the classic reference Milnor-Stasheff. Characteristic classes are a way to associate to a vector bundle over a space, such as the tangent bundle of a smooth manifold, various invariants in the cohomology of the space. This is a topic in algebraic topology, but as we will see even scratching the surface of this theory yields many consequences in algebra, geometry and topology. A detailed program can be found on the course homepage.
Literature Characteristic Classes - Milnor, Stasheff
Vector bundles and K-theory - Hatcher
Recommended previous knowledge Some basic familiarity with (co)homology, as is covered by the course "Algebraic topology I" for example, is beneficial. However a motivated student could manage without.
Time/Date Friday 10-12
Location M112
Course homepage https://sites.google.com/view/sil-linskens/teaching/cc-so26 (Disclaimer: Dieser Link wurde automatisch erzeugt und ist evtl. extern)
Registration- Organisational meeting/distribution of topics: See linked website
- 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, MV, MSem, BSem.2
ECTS 4,5
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