250060 Algebraic Number Theory, Monday 9:45 - 11:15 and Wednesday 8:00 - 9:30, Seminarraum 11 (OMP 1), starting on October 3, 2016.
We will give an introduction to the basic concepts and methods of algebraic number theory. The following objects and their properties 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:
250061 Introductory Seminar on Algebraic Number Theory, Monday 11:30 - 12:15, Seminarraum 11 (OMP 1), starting on October 10, 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 the students' understanding of basic principles into working knowledge.
Each week the participants announce beforehand for which exercises they are able to present solutions. 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 at the blackboard, and regular participation in discussions. The grade of students who pass is determined in equal parts by the number of exercises solved and the number and quality of the presentations of these solutions.
The exercises are available at www.mat.univie.ac.at/~baxa/bspeWS1617.pdf.
Go to Faculty of Mathematics.