Universität Wien

250535 VO Algebraic number theory (2006W)

Algebraic number theory

8.00 ECTS (4.00 SWS), SPL 25 - Mathematik

Details

Language: German

Lecturers

Classes (iCal) - next class is marked with N

  • Thursday 19.10. 09:00 - 11:00 Seminarraum
  • Friday 20.10. 09:00 - 11:00 Seminarraum
  • Friday 27.10. 09:00 - 11:00 Seminarraum
  • Friday 03.11. 09:00 - 11:00 Seminarraum
  • Thursday 09.11. 09:00 - 11:00 Seminarraum
  • Friday 10.11. 09:00 - 11:00 Seminarraum
  • Thursday 16.11. 09:00 - 11:00 Seminarraum
  • Friday 17.11. 09:00 - 11:00 Seminarraum
  • Thursday 23.11. 09:00 - 11:00 Seminarraum
  • Friday 24.11. 09:00 - 11:00 Seminarraum
  • Thursday 30.11. 09:00 - 11:00 Seminarraum
  • Friday 01.12. 09:00 - 11:00 Seminarraum
  • Thursday 07.12. 09:00 - 11:00 Seminarraum
  • Thursday 14.12. 09:00 - 11:00 Seminarraum
  • Friday 15.12. 09:00 - 11:00 Seminarraum
  • Thursday 11.01. 09:00 - 11:00 Seminarraum
  • Friday 12.01. 09:00 - 11:00 Seminarraum
  • Thursday 18.01. 09:00 - 11:00 Seminarraum
  • Friday 19.01. 09:00 - 11:00 Seminarraum
  • Thursday 25.01. 09:00 - 11:00 Seminarraum
  • Friday 26.01. 09:00 - 11:00 Seminarraum

Information

Aims, contents and method of the course

Historically, Diophantine Equations were the principal motivation for the 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 fields, cyclotomic fields, Gauss's law of quadratic reciprocity (revisited), some Diophantine equations

Assessment and permitted materials

Minimum requirements and assessment criteria

Examination topics

Reading list

Literatur wird in der Vorlesung bekanntgegeben

Association in the course directory

Last modified: Mo 07.09.2020 15:40