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Seminar in Algebraic Number Theory
Seminar über algebraische Zahlentheorie
Last Updated: 2026-02-05 15:54:09
Abstract
In this seminar, you'll learn how various concepts of the integers, for example the prime factorisation, can be generalised to finite field extensions of the rational numbers. For this manner, the more robust theory of Dedekind rings is worked out and combined with Galois theory.
Objective
- Understanding of Dedekind rings and factorisation of ideals as well as their class groups. - Knowledge of how prime ideals may split under field extensions and how one may compute such a behaviour. - Various insights into advanced algebraic, geometric, and analytic number theory, such as Kummer theory, Chebotarev's density theorem, Dirichlet's unit theorem, Dirichlet L-functions
General Information
- Language
- German
- Levels
- BSC
Examination
- Type
- ungraded semester performance
Registration & Places
- Signup Start
- 04.01.2021
- Signup End
- 19.02.2021
Course Components
| Type | Title | Time & Place | Hours |
|---|---|---|---|
| seminar | Seminar über algebraische Zahlentheorie |
|
2 h weekly |
Offered In
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Seminars (This semester, many seminars have a waiting list with special selection procedure. If no other criteria apply, a definitive registration will be granted first of all to students who haven't got another seminar registration. Here is the best procedure for dealing with two waiting lists: first choose your preferred seminar and a few minutes later choose an alternative seminar. IMPORTANT: Do not waitlist yourself for more than two seminars!)
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