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Fakultät für Mathematik Universität Regensburg
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Algebraic Number Theory II
Semester
SoSe 2019

Lecturer
Walter Gubler

Type of course (Veranstaltungsart)
Vorlesung

Contents
This course deals with special topics in algebraic and analytic 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 deal with local fields, Witt rings, higher ramification, adeles,
ideles, L-series , density theorems.

Literature
Koch: Zahlentheorie Neukirch: Algebraic Number Theory Serre: Local Fields

Recommended previous knowledge
Algebra is required. Commutative algebra and Algebraic Number Theory I are helpful, but not
required.

Time/Date
Monday, Wednesday: 8-10

Location
Monday M104, Wednesday M101

Registration
  • Preliminary registration for the organisation of exercise classes: at the end of the previous
    semester via HIS/LSF (see announcement by the department)
  • Registration for the exercise classes: GRIPS
  • Registration for course work/examination/ECTS: FlexNow
Course work (Studienleistungen)
  • Successful participation in the exercise classes: Successful participation in the exercise
    classes: 50% of points in the exercises.
Examination (Prüfungsleistungen)
  • Oral exam: Duration: 25 Minutes, Date: individual, re-exam: Date: individual
Modules
BV, MV, MArGeo

ECTS
9
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