240077 Eichtheorie (V) (SoSe 2016)
Contents, comment
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Dies ist der erste Teil einer auf 3 Semester angelegten Master-Sequenz.
Inhalt (Teil 1):
Differentialformen, deRham-Kohomologie, Poincaré-Dualtität
Lie-Gruppen und homogene Räume
Zusammenhänge in Hauptfaserbündeln
Charakteristische Klassen in der deRahm-KohomologieIn den anschließenden Semestern sollen folgende Themenbereiche behandelt werden:
Inhalt (Teil 2):
Index von elliptischen Differentialoperatoren auf MannigfaltigkeitenInhalt (Teil 3):
Instantonengleichung und Donaldson-Theorie
Monopolgleichung und Seibert-Witten-TheoriePS: Die Vorlesung soll Di und Do von 10 bis 12 sein, die Übungen Di 14-16. Das wird hoffentlich noch im ekVV entsprechend geändert.
Bibliography
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Baum: Eichfeldtheorie
Bott-Tu: Differential forms in algebraic topology
Milnor-Stasheff: Characteristic Classes
Teaching staff
Dates ( Calendar view )
| Frequency | Weekday | Time | Format / Place | Period |
|---|
Subject assignments
| Module | Course | Requirements | |
|---|---|---|---|
| 24-M-P1 Profile Module 1 Profilierung 1 | Profilierungsvorlesung (mit Übung) - Typ 1 | Student information | |
| 24-M-P2 Profile Module 2 Profilierung 2 | Profilierungsvorlesung (mit Übungen) - Typ 1 | Student information | |
| 24-M-PWM Profile Module Economic Mathematics Profilierung Wirtschaftsmathematik | Profilierungsvorlesung (mit Übung) - Typ 1 | Student information | |
| - | Graded examination | Student information | |
| 24-M-SV1-AL Foundations in Algebra Spezialisierung/Vertiefung 1 - Algebra | Spezialisierungskurs Algebra | Graded examination
|
Student information |
| 24-M-SV1-AN Foundations in Analysis Spezialisierung/Vertiefung 1 - Analysis | Spezialisierungskurs Analysis | Graded examination
|
Student information |
| 28-M-SMTP Specialisation in Mathematical and Theoretical Physics Spezialisierung Mathematische und Theoretische Physik | Spezialisierungskurs MP-M - Variante 1 | Student information | |
| - | Graded examination | Student information |
The binding module descriptions contain further information, including specifications on the "types of assignments" students need to complete. In cases where a module description mentions more than one kind of assignment, the respective member of the teaching staff will decide which task(s) they assign the students.
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- Last update basic details/teaching staff:
- Wednesday, December 16, 2015
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- Friday, April 8, 2016
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- Friday, April 8, 2016
- Type(s) / SWS (hours per week per semester)
- lecture (V) / 4
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- Faculty of Mathematics
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