250060 VO Algebraic number theory (2020W)
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Note: The time of your registration within the registration period has no effect on the allocation of places (no first come, first served).
Details
Language: English
Examination dates
Lecturers
Classes (iCal) - next class is marked with N
From Nov 3rd the course will take place on zoom.
ID of meeting: 974 9324 6659Please write an e-mail to the professor for password.
Friday
02.10.
13:15 - 14:45
Hörsaal 8 Oskar-Morgenstern-Platz 1 1.Stock
Wednesday
07.10.
13:15 - 14:45
Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
Friday
09.10.
13:15 - 14:45
Hörsaal 8 Oskar-Morgenstern-Platz 1 1.Stock
Wednesday
14.10.
13:15 - 14:45
Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
Friday
16.10.
13:15 - 14:45
Hörsaal 8 Oskar-Morgenstern-Platz 1 1.Stock
Wednesday
21.10.
13:15 - 14:45
Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
Friday
23.10.
13:15 - 14:45
Hörsaal 8 Oskar-Morgenstern-Platz 1 1.Stock
Wednesday
28.10.
13:15 - 14:45
Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
Friday
30.10.
13:15 - 14:45
Hörsaal 8 Oskar-Morgenstern-Platz 1 1.Stock
Wednesday
04.11.
13:15 - 14:45
Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
Friday
06.11.
13:15 - 14:45
Hörsaal 8 Oskar-Morgenstern-Platz 1 1.Stock
Wednesday
11.11.
13:15 - 14:45
Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
Friday
13.11.
13:15 - 14:45
Hörsaal 8 Oskar-Morgenstern-Platz 1 1.Stock
Wednesday
18.11.
13:15 - 14:45
Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
Friday
20.11.
13:15 - 14:45
Hörsaal 8 Oskar-Morgenstern-Platz 1 1.Stock
Wednesday
25.11.
13:15 - 14:45
Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
Friday
27.11.
13:15 - 14:45
Hörsaal 8 Oskar-Morgenstern-Platz 1 1.Stock
Wednesday
02.12.
13:15 - 14:45
Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
Friday
04.12.
13:15 - 14:45
Hörsaal 8 Oskar-Morgenstern-Platz 1 1.Stock
Wednesday
09.12.
13:15 - 14:45
Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
Friday
11.12.
13:15 - 14:45
Hörsaal 8 Oskar-Morgenstern-Platz 1 1.Stock
Wednesday
16.12.
13:15 - 14:45
Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
Friday
18.12.
13:15 - 14:45
Hörsaal 8 Oskar-Morgenstern-Platz 1 1.Stock
Friday
08.01.
13:15 - 14:45
Hörsaal 8 Oskar-Morgenstern-Platz 1 1.Stock
Wednesday
13.01.
13:15 - 14:45
Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
Friday
15.01.
13:15 - 14:45
Hörsaal 8 Oskar-Morgenstern-Platz 1 1.Stock
Wednesday
20.01.
13:15 - 14:45
Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
Friday
22.01.
13:15 - 14:45
Hörsaal 8 Oskar-Morgenstern-Platz 1 1.Stock
Wednesday
27.01.
13:15 - 14:45
Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
Friday
29.01.
13:15 - 14:45
Hörsaal 8 Oskar-Morgenstern-Platz 1 1.Stock
Information
Aims, contents and method of the course
Assessment and permitted materials
Written or oral exam. In case that presence examination is not possible, written or oral online exam”
Minimum requirements and assessment criteria
To pass the exam.
Examination topics
Content of the lecture
Reading list
Neukirch "Algebraische Zahlentheorie"
P. Samuel "Algebraic Theory of Numbers"
Koch "Algebraische Zahlentheorie"
Lang "Algebraic number theory"
P. Samuel "Algebraic Theory of Numbers"
Koch "Algebraische Zahlentheorie"
Lang "Algebraic number theory"
Association in the course directory
MALZ
Last modified: Mo 19.07.2021 11:28
numbers the formulation of higher reciprocity laws involves n-th roots of unity, i.e. it necessarily takes place in a finite extension of Q. This creates the need to consider finite (i.e. algebraic) extensions of Q - the so called algebraic number fields - in analogy with Q. The goal of algebraic number theory thus is to extend the essential properties of the field Q to finite extensions of Q. Briefly, this means
1) to find an analogoue in number fields of the ring of integers Z in Q; in particular this analogoue is a ring and it should have some kind of factorization into primes property. The study of these rings is a fundament of algebraic number theory.
2) to find an analogoue of the embedding of Q into R (and also into p-adic fields Q_p); this makes possible to relate algebraic numbers to geometry and analysis.
If time permits we can occasionally touch on aspects of the modern formulation of algebraic number theory which evolved in connection
with the geometric interpretation of algebraic numbers.Prerequisites for the course ``Algebraic number theory'' are Algebra 1 and Algebra 2.