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The seminar is held in English.
Contents is related to the following topics and can be changed according to the audience's intersets:
- flat connections, holonomy, covering spaces, fundamental group
- use of characteristic classes, classifying spaces
- cup and cap products, universal coefficient theorem, some more on co/homology of manifolds
- Poincare duality, Poincare dual, orientability (fundamental class), intersection form (classifies 4-mfd together with Kirby-Siebenmann class), torsion linking form (5-mfds and second Stiefel-Whitney class)
- cohomology of fibre bundles, line bundles
- sheaf cohomology
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