Module Handbook

  • Dynamischer Default-Fachbereich geändert auf MAT

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

SWS 4V+2U
CP, Effort 9.0 CP = 270 h
Position of the semester 1 Sem. irreg.
Level [7] Master (Advanced)
Language [EN] English
Lecturers
+ further Lecturers of the department Mathematics
Area of study [MAT-AGCA] Algebra, Geometry and Computer Algebra
Additional informations
Livecycle-State [NORM] Active

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:

Courses

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