Universität Wien

250331 SE Seminar (Number theory) (2007S)

Seminar (Number theory)

4.00 ECTS (2.00 SWS), SPL 25 - Mathematik
Continuous assessment of course work

(Vorbesprechung)

Details

Language: German

Lecturers

Classes (iCal) - next class is marked with N

Tuesday 06.03. 11:15 - 12:45 Seminarraum
Tuesday 13.03. 11:15 - 12:45 Seminarraum
Tuesday 20.03. 11:15 - 12:45 Seminarraum
Tuesday 27.03. 11:15 - 12:45 Seminarraum
Tuesday 17.04. 11:15 - 12:45 Seminarraum
Tuesday 24.04. 11:15 - 12:45 Seminarraum
Tuesday 08.05. 11:15 - 12:45 Seminarraum
Tuesday 15.05. 11:15 - 12:45 Seminarraum
Tuesday 22.05. 11:15 - 12:45 Seminarraum
Tuesday 05.06. 11:15 - 12:45 Seminarraum
Tuesday 12.06. 11:15 - 12:45 Seminarraum
Tuesday 19.06. 11:15 - 12:45 Seminarraum
Tuesday 26.06. 11:15 - 12:45 Seminarraum

Information

Aims, contents and method of the course

Starting out from basic knowledge in Number Theory we will introduce p-adic numbers, study congruences in p-adic numbers and representations of numbers by quadratic forms. With these tools the famous Theorem of Minkowsi-Hasse will be proved: A quadratic form with rational coefficients has a rational zero if and only if it has a real zero and for all primes p a p-adic zero.

Assessment and permitted materials

Minimum requirements and assessment criteria

As usual the seminar features talks of the participants on a previously determined subject.

Examination topics

As usual the seminar features talks of the
participants on a previously determined subject.

Reading list

Borevich, Shafarevich: Number Theory (Chapter I)

Association in the course directory

Last modified: Mo 07.09.2020 15:40