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Fakultät für Mathematik Universität Regensburg
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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
Druckansicht