Universität Regensburg   IMPRESSUM   DATENSCHUTZ
Fakultät für Mathematik Universität Regensburg

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English Note For our digital courses all relevant information can be found on the appropriate GRIPS sites.

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:
    • O. g. Studienleistung
Modules
BV, MV, MArGeo

ECTS
9