250060 VO Algebraic Number theory (2023W)
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Details
Language: English
Examination dates
Lecturers
Classes (iCal) - next class is marked with N
- Monday 02.10. 09:45 - 11:15 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
- Friday 06.10. 13:15 - 14:45 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
- Monday 09.10. 09:45 - 11:15 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
- Friday 13.10. 13:15 - 14:45 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
- Monday 16.10. 09:45 - 11:15 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
- Friday 20.10. 13:15 - 14:45 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
- Monday 23.10. 09:45 - 11:15 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
- Friday 27.10. 13:15 - 14:45 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
- Monday 30.10. 09:45 - 11:15 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
- Monday 06.11. 09:45 - 11:15 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
- Friday 10.11. 13:15 - 14:45 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
- Monday 13.11. 09:45 - 11:15 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
- Friday 17.11. 13:15 - 14:45 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
- Monday 20.11. 09:45 - 11:15 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
- Friday 24.11. 13:15 - 14:45 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
- Monday 27.11. 09:45 - 11:15 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
- Friday 01.12. 13:15 - 14:45 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
- Monday 04.12. 09:45 - 11:15 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
- Monday 11.12. 09:45 - 11:15 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
- Friday 15.12. 13:15 - 14:45 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
- Monday 08.01. 09:45 - 11:15 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
- Friday 12.01. 13:15 - 14:45 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
- Monday 15.01. 09:45 - 11:15 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
- Friday 19.01. 13:15 - 14:45 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
- Monday 22.01. 09:45 - 11:15 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
- Friday 26.01. 13:15 - 14:45 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
- Monday 29.01. 09:45 - 11:15 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
Information
Aims, contents and method of the course
Assessment and permitted materials
Written exam at the end of the lecture.
Minimum requirements and assessment criteria
Passing the exam.
Examination topics
Rings of integers, norm, trace and discriminant, ideals of Dedekind rings, finiteness of the class number, Dirichlet's unit theorem, splitting and ramification, cyclotomic fields, valuations and local fields.
Reading list
Neukirch "Algebraische Zahlentheorie"
P. Samuel "Algebraic Theory of Numbers"
Koch "Algebraische Zahlentheorie"
Lang "Algebraic number theory"
I. Stewart, D. Tall, Algebraic Number Theory and Fermat's Last Theorem
D.A. Marcus, Number Fields
W. Narkiewicz, Elementary and Analytic Theory of Algebraic Numbers
P. Samuel "Algebraic Theory of Numbers"
Koch "Algebraische Zahlentheorie"
Lang "Algebraic number theory"
I. Stewart, D. Tall, Algebraic Number Theory and Fermat's Last Theorem
D.A. Marcus, Number Fields
W. Narkiewicz, Elementary and Analytic Theory of Algebraic Numbers
Association in the course directory
MALZ
Last modified: Th 21.03.2024 10:26
in the broadest sense. It is one of the oldest sciences. The main subdivisions of number theory are
elementary number theory, analytic number theory, algebraic number theory, Diophantine geometry,
probabilistic number theory, arithmetic combinatorics and computational number theory.
The aim is to give an introduction to algebraic number theory and to cover some of the classical topics, like rings of integers, norm, trace and discriminant, ideals of Dedekind rings, finiteness of the class number, Dirichlet's unit theorem, splitting and ramification, cyclotomic fields, valuations and local fields.