Course MAT-43-22-K-7
Algebraic Number Theory (4V+2U, 9.0 LP)
Course Type
SWS | Type | Course Form | CP (Effort) | Presence-Time / Self-Study | |
---|---|---|---|---|---|
- | K | Lecture with exercise classes (V/U) | 9.0 CP | 186 h | |
4 | V | Lecture | 56 h | ||
2 | U | Exercise class (in small groups) | 28 h | ||
(4V+2U) | 9.0 CP | 84 h | 186 h |
Basedata
Contents
- global fields,
- modules over Dedekind domain,
- valuation and completion,
- integral elements and orders.
Literature
- F. Lorenz: Algebra 2,
- F. Lorenz: Zahlentheorie,
- J.-P. Serre: Local Fields,
- H. Stichentoth: Algebraic Function Fields and Codes,
- H. Cohen: Advanced Topics in Computational Number Theory,
- J. Neukirch: Algebraische Zahlentheorie.
Materials
Further literature will be announced in the lecture.
Requirements for attendance (informal)
Additional knowledge from the module [MAT-40-29-M-4] ist useful but not necessarily required.
Modules:
- [MAT-10-1-M-2] Fundamentals of Mathematics (M, 28.0 LP)
- [MAT-40-11-M-4] Commutative Algebra (M, 9.0 LP)
Courses
- [MAT-12-11-K-2] Algebraic Structures (2V+2U, 5.5 LP)
- [MAT-12-22-K-3] Introduction to Algebra (2V+1U, 4.5 LP)
Requirements for attendance (formal)
None
References to Course [MAT-43-22-K-7]
Module | Name | Context | |
---|---|---|---|
[MAT-43-22-M-7] | Algebraic Number Theory | P: Obligatory | 4V+2U, 9.0 LP |