250060 Algebraic Number Theory, Monday 9:45 - 11:15, Hörsaal 13 and Wednesday 9:45 - 11:15, Hörsaal 11, starting on October 3, 2022.
This lecture will give an introduction to the basic concepts and methods of algebraic number theory. The following topics will be covered: algebraic integers, integral closure, integral bases, factorization into prime ideals, Dirichlet's unit theorem, quadratic number fields, cyclotomic number fields.
The following textbooks on algebraic number theory can be recommended:
Lecture notes for download:
250100 Introductory Seminar on Algebraic Number Theory, Thursday 9:45 - 10:30, Seminarraum 8 (OMP 1), starting on October 6, 2016.
Exercises and examples will be used to deepen the understanding of the material covered in the lectures on algebraic number theory. The aim is to transform students' understanding of basic principles into working knowledge. To this end we will discuss solutions of exercises prepared by the students.
Each week participants announce beforehand for which exercises they are able to present solutions. Over the course of the semester two of these solutions have to be presented. The previously prepared solution can be used as an aid during the presentation. Minimum requirements for passing are: solving at least 60% of the exercises, the correct presentation of at least two solutions, and regular participation in the discussions. The grade of students who pass is determined in equal parts by the number of exercises solved and the quality of the presentations of these solutions.
The exercises are available at www.mat.univie.ac.at/~baxa/bspeWS2223.pdf.
Go to Faculty of Mathematics.