250110 VO Algebraic number theory (2008W)
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Details
Language: German
Examination dates
Lecturers
Classes (iCal) - next class is marked with N
Friday
03.10.
09:00 - 11:00
Seminarraum
Thursday
09.10.
09:00 - 11:00
Seminarraum
Friday
10.10.
09:00 - 11:00
Seminarraum
Thursday
16.10.
09:00 - 11:00
Seminarraum
Friday
17.10.
09:00 - 11:00
Seminarraum
Thursday
23.10.
09:00 - 11:00
Seminarraum
Friday
24.10.
09:00 - 11:00
Seminarraum
Thursday
30.10.
09:00 - 11:00
Seminarraum
Friday
31.10.
09:00 - 11:00
Seminarraum
Thursday
06.11.
09:00 - 11:00
Seminarraum
Friday
07.11.
09:00 - 11:00
Seminarraum
Thursday
13.11.
09:00 - 11:00
Seminarraum
Friday
14.11.
09:00 - 11:00
Seminarraum
Thursday
20.11.
09:00 - 11:00
Seminarraum
Friday
21.11.
09:00 - 11:00
Seminarraum
Thursday
27.11.
09:00 - 11:00
Seminarraum
Friday
28.11.
09:00 - 11:00
Seminarraum
Thursday
04.12.
09:00 - 11:00
Seminarraum
Friday
05.12.
09:00 - 11:00
Seminarraum
Thursday
11.12.
09:00 - 11:00
Seminarraum
Friday
12.12.
09:00 - 11:00
Seminarraum
Thursday
18.12.
09:00 - 11:00
Seminarraum
Friday
19.12.
09:00 - 11:00
Seminarraum
Thursday
08.01.
09:00 - 11:00
Seminarraum
Friday
09.01.
09:00 - 11:00
Seminarraum
Thursday
15.01.
09:00 - 11:00
Seminarraum
Friday
16.01.
09:00 - 11:00
Seminarraum
Thursday
22.01.
09:00 - 11:00
Seminarraum
Friday
23.01.
09:00 - 11:00
Seminarraum
Thursday
29.01.
09:00 - 11:00
Seminarraum
Friday
30.01.
09:00 - 11:00
Seminarraum
Information
Aims, contents and method of the course
Assessment and permitted materials
Schriftliche Prüfung am Ende der LV
Minimum requirements and assessment criteria
Familiarity with the basic questions, methods of proof and results in algebraic number theory
Examination topics
Reading list
Literatur wird in der LV bekanntgegeben. Die Inhalte der LV Algebra I, II
des Studienjahres 2007/08 werden vorausgesetzt.
des Studienjahres 2007/08 werden vorausgesetzt.
Association in the course directory
MALZ
Last modified: Mo 07.09.2020 15:40
development of algebraic number theory. In these lectures we will be
concerned with generalizations of the integral domain of ordinary integers
which are called algebraic integers. By definition, an algebraic integer
is a root of a monic polynomial with integral coefficients. The study of a
suitable ring of algebraic integers will help in the solution of a problem
initially stated in terms of ordinary integers. We will consider various
instances of this phenomenon.
List of cotents: integrality, Dedekind domains, class group, quadratic and cubic fields, arithmetic of cyclotomic fields, Gauss¿s law of quadratic reciprocity (revisited), laws of decomposition, geometry of numbers, Dirchlet's unit theorem, some Diophantine equations