240850 Hodge-Theorie (V) (WiSe 2011/2012)
Contents, comment
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Die Hodge-Theorie stellt Kohomologieklassen von kompakten Riemannschen Mannigfaltigkeiten durch harmonische Differentialformen dar. Im Fall von Kählerschen Mannigfaltigkeiten erhält man zusätzlich eine Hodge-Zerlegung und eine Lefschetz-Zerlegung der Kohomologie. Diese Strukturen sind wichtige Invarianten der komplexen Struktur.
Requirements for participation, required level
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Grundkenntnisse über komplexe Mannigfaltigkeiten und de-Rham-Kohomologie
Bibliography
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- C. Voisin, Hodge theory and algebraic geometry I, Cambridge University Press 2002
- R. O. Wells, Differential analysis on complex manifolds, Prentice-Hall 1973
Teaching staff
Dates ( Calendar view )
| Frequency | Weekday | Time | Format / Place | Period |
|---|
Subject assignments
| Degree programme/academic programme | Validity | Variant | Subdivision | Status | Semester | LP | |
|---|---|---|---|---|---|---|---|
| Mathematik / Diplom | (Enrollment until SoSe 2008) | Wahl | 7. 8. | nicht scheinfähig HS | |||
| Mathematik / Master | (Enrollment until SoSe 2011) | MM09S | Wahlpflicht | 3. | 6 | unbenotet |
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- Friday, December 11, 2015
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- Friday, November 11, 2011
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- Friday, November 11, 2011
- Type(s) / SWS (hours per week per semester)
- lecture (V) / 4
- Department
- Faculty of Mathematics
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