240079 Algebraische Zahlentheorie II (V) (SoSe 2014)
Contents, comment
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Inhalt dieser Veranstaltung ist Klassenkörpertheorie.
Die Klassenkörpertheorie ist ein wichtiger Zweig der algebraischen Zahlentheorie, der sich mit der Untersuchung abelscher Erweiterungen algebraischer Zahlkörper beschäftigt. Grob gesagt geht es darum, solche Erweiterungen eines Zahlkörpers K aus den arithmetischen Eigenschaften von K zu beschreiben. Hierfür werden zunächst die technischen Hilfsmittel erarbeitet; insbeondere behandeln wir Kohomologietheorie endlicher Gruppen.
Requirements for participation, required level
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Es werden grundlegende Kenntnisse in algebraischer Zahlentheorie vorausgesetzt (Algebraische Zahlentheorie I).
Bibliography
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Jürgen Neukirch: Klassenkörpertheorie
J.W.S. Cassels / A. Fröhlich: Algebraic Number Theory
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 | |
| - | Graded examination | 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-S2-AL Spezialisation Courses in Algebra Spezialisierung 2 - Algebra | Masterkurs 1 Algebra - Variante 1 | Student information | |
| 24-M-V2-AL Advanced Algebra Vertiefung 2 - Algebra | Masterkurs 1 Algebra - 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.
| Degree programme/academic programme | Validity | Variant | Subdivision | Status | Semester | LP | |
|---|---|---|---|---|---|---|---|
| Mathematik / Diplom | (Enrollment until SoSe 2008) | Wahl | 5. 6. 7. 8. | scheinfähig HS |
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