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Algebraic Number Theory Semester WiSe 2020 / 21
Lecturer Walter Gubler
Type of course (Veranstaltungsart) Vorlesung
Contents This course gives an introduction to algebraic number theory. Together with the course on
Algebraic Geometry this course can serve as a basis for further specialization in the area of
arithmetic geometry. We treat number fields, rings of algebraic integers, Dedekind domains,
Minkowski's lattice point theory, finiteness of class numbers, Dirichlet's unit theorem,
ramification theory, local fields, valuations, and the product formula.
Literature Froehlich, Taylor, Algebraic Number Theory, Cambridge University Press Lang, Algebraic
Number Theory, Springer Neukirch, Algebraic Number Theory, Springer Neukirch, Algebraische
Zahlentheorie, Springer
Recommended previous knowledge Algebra
Time/Date Tuesday, Thursday: 8-10
Location zoom or H31/M104
Registration- Preliminary registration for the organisation of exercise classes: at the end of the previous
semester via EXA or LSF (see announcement by the department) - Registration for course work/examination/ECTS: FlexNow
Course work (Studienleistungen)- Successful participation in the exercise classes: 50% of points in the exercises.
Examination (Prüfungsleistungen)- Written exam: Duration: 2 hours, Date: to be announced, re-exam: Date: to be announced
Regelungen bei Studienbeginn vor WS 2015 / 16- Benotet:
- O. g. Studienleistung und o. g. Prüfungsleistung; die Note ergibt sich aus der Prüfungsleistung
- Unbenotet:
Modules BV, MV, MArGeo
ECTS 9
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