IMPRESSUM    DATENSCHUTZ
	Fakultät für Mathematik	Universität Regensburg
Algebraic Number Theory I Semester WiSe 2024 / 25 Lecturer Klaus Künnemann Type of course (Veranstaltungsart) Vorlesung German title Algebraische Zahlentheorie I 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 and some commutative algebra Time/Date Monday, Thursday 10h15 - 12h00 Location M102 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 the exercise classes: You can register via GRIPS for the exercise classes in the first week of the teaching period. Registration for course work/examination/ECTS: FlexNow Course work (Studienleistungen) Successful participation in the exercise classes: Successful participation in the exercise classes: Active participation and the presentation of solutions to exercises at the blackboard: Each participant has to present at least two solutions, at least one from the exercise sheets 1-6 and at least one from the exercise sheets 7-12. Furthermore 50 % successful written solutions to the exercises have to be submitted. Examination (Prüfungsleistungen) Written exam: Duration: 120 minutes, Date: Wednesday, February 12th 2025, re-exam: Date: Wednesday, April 9th 2025 Modules BV, MV, MArGeo ECTS 9 ECTS

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