In der Iwasawa-Theorie studiert man das Verhalten von arithmetischen Invarianten in unendlichen Türmen von Zahlkörpern.
Das Seminar gibt eine Einführung in diese Theorie anhand des Beispiels der Kreisteilungskörper und ihrer Klassenzahlen geben.
Voraussetzungen: Algebraische Zahlentheorie oder kommutative Algebra.
Kenntnis der p-adischen Zahlen ist hilfreich.
L. C. Washington: Introduction to Cyclotomic Fields
J. Coates, R. Sujahta: Cyclotomic Fields And Zeta Values
S. Lang: Cyclotomic Fields I and II
| Frequency | Weekday | Time | Format / Place | Period | |
|---|---|---|---|---|---|
| weekly | Di | 10-12 | V4-116 | 13.04.-24.07.2026 |
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| Module | Course | Requirements | |
|---|---|---|---|
| 24-M-AL-ST5a Selected Topics in Algebra and Number Theory 1 | Seminar Selected Topics in Algebra and Number Theory | Study requirement
Graded examination |
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| 24-M-AL-ST5b Selected Topics in Algebra and Number Theory 2 | Seminar Selected Topics in Algebra and Number Theory | Study requirement
Graded examination |
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| 24-M-P1 Profile Module 1 | Profilierungsseminar | Study requirement
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| 24-M-P1a Profile Module 1, Part A | Profilierungsseminar | Study requirement
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| 24-M-P1b Profile Module 1, Part B | Profilierungsseminar | Study requirement
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| 24-M-P2 Profile Module 2 | Profilierungsseminar | Study requirement
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| 24-M-PWM Profile Module Economic Mathematics | Profilierungsseminar | Study requirement
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