401-2140-21L  Seminar in Algebraic Number Theory

SemesterSpring Semester 2021
LecturersR. Steiner
Periodicitynon-recurring course
Language of instructionGerman
CommentNumber of participants limited to 12.



Courses

NumberTitleHoursLecturers
401-2140-21 SSeminar über algebraische Zahlentheorie2 hrs
Mon16:15-18:00HG G 26.5 »
R. Steiner

Catalogue data

AbstractIn this seminar, you'll learn how various concepts of the integers, for example the prime factorisation, can be generalised to finite field extensions of the rational numbers. For this manner, the more robust theory of Dedekind rings is worked out and combined with Galois theory.
Objective- Understanding of Dedekind rings and factorisation of ideals as well as their class groups.

- Knowledge of how prime ideals may split under field extensions and how one may compute such a behaviour.

- Various insights into advanced algebraic, geometric, and analytic number theory, such as Kummer theory, Chebotarev's density theorem, Dirichlet's unit theorem, Dirichlet L-functions
Prerequisites / NoticeAlgebra I & II, where the latter may also be visited in parallel.

Performance assessment

Performance assessment information (valid until the course unit is held again)
Performance assessment as a semester course
ECTS credits4 credits
ExaminersR. Steiner
Typeungraded semester performance
Language of examinationGerman
RepetitionRepetition only possible after re-enrolling for the course unit.

Learning materials

No public learning materials available.
Only public learning materials are listed.

Groups

No information on groups available.

Restrictions

PlacesLimited number of places. Special selection procedure.
Beginning of registration periodRegistration possible from 04.01.2021
PriorityRegistration for the course unit is only possible for the primary target group
Primary target groupMathematics BSc (404000) starting semester 04
Waiting listuntil 01.03.2021
End of registration periodRegistration only possible until 19.02.2021

Offered in

ProgrammeSectionType
Mathematics BachelorFurther Courses Suitable for the Second YearWInformation
Mathematics BachelorSeminarsWInformation