Universität Wien

250219 VO Algebraic number theory (2007W)

6.00 ECTS (3.00 SWS), SPL 25 - Mathematik

Details

Language: German

Lecturers

Classes (iCal) - next class is marked with N

Wednesday 03.10. 11:00 - 13:00 Seminarraum
Thursday 04.10. 11:00 - 12:00 Seminarraum
Wednesday 10.10. 11:00 - 13:00 Seminarraum
Thursday 11.10. 11:00 - 12:00 Seminarraum
Wednesday 17.10. 11:00 - 13:00 Seminarraum
Thursday 18.10. 11:00 - 12:00 Seminarraum
Wednesday 24.10. 11:00 - 13:00 Seminarraum
Thursday 25.10. 11:00 - 12:00 Seminarraum
Wednesday 31.10. 11:00 - 13:00 Seminarraum
Wednesday 07.11. 11:00 - 13:00 Seminarraum
Thursday 08.11. 11:00 - 12:00 Seminarraum
Wednesday 14.11. 11:00 - 13:00 Seminarraum
Thursday 15.11. 11:00 - 12:00 Seminarraum
Wednesday 21.11. 11:00 - 13:00 Seminarraum
Thursday 22.11. 11:00 - 12:00 Seminarraum
Wednesday 28.11. 11:00 - 13:00 Seminarraum
Thursday 29.11. 11:00 - 12:00 Seminarraum
Wednesday 05.12. 11:00 - 13:00 Seminarraum
Thursday 06.12. 11:00 - 12:00 Seminarraum
Wednesday 12.12. 11:00 - 13:00 Seminarraum
Thursday 13.12. 11:00 - 12:00 Seminarraum
Wednesday 09.01. 11:00 - 13:00 Seminarraum
Thursday 10.01. 11:00 - 12:00 Seminarraum
Wednesday 16.01. 11:00 - 13:00 Seminarraum
Thursday 17.01. 11:00 - 12:00 Seminarraum
Wednesday 23.01. 11:00 - 13:00 Seminarraum
Thursday 24.01. 11:00 - 12:00 Seminarraum
Wednesday 30.01. 11:00 - 13:00 Seminarraum
Thursday 31.01. 11:00 - 12:00 Seminarraum

Information

Aims, contents and method of the course

Algebraic Number Theory studies finite field extensions of the rationals. Each such extension contains an important subring, the ring of integers in this field. From an algebraic point of view these rings depend heavily on the underlying field. We will however show that they are all Dedekind domains and we are going to determine the algebraic nature of group of units in these rings.

Assessment and permitted materials

Minimum requirements and assessment criteria

Algebraic Number Theory should be developed to such an extent that students can follow a higher course on Commutative Algebra.

Examination topics

The methods of this lecture are algebraic in nature. Henceforth it is expected that students have already attended a course on algebra. Knowledge of Galois Theory is not expected.

Reading list

Alaca and Williams: Introductory Algebraic Number Theory
Stewart and Tall: Algebraich Number Theory
Swinnerton-Dyer: A Brief Guide to Algebraic Number Theory
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Association in the course directory

MALZ

Last modified: Mo 07.09.2020 15:40