PřF:M8195 Number theory seminar - Course Information
M8195 Number theory seminar
Faculty of ScienceSpring 2024
- Extent and Intensity
- 0/2/0. 2 credit(s) (příf plus uk k 1 zk 2 plus 1 > 4). Type of Completion: z (credit).
- Teacher(s)
- Mgr. Pavel Francírek, Ph.D. (lecturer)
prof. RNDr. Radan Kučera, DSc. (lecturer) - Guaranteed by
- prof. RNDr. Radan Kučera, DSc.
Department of Mathematics and Statistics – Departments – Faculty of Science
Supplier department: Department of Mathematics and Statistics – Departments – Faculty of Science - Timetable
- Mon 19. 2. to Sun 26. 5. Thu 10:00–11:50 M6,01011
- Prerequisites
- M3150 Algebra II
The knowledge of algebra and rudiments of Galois theory in the range of M3150 Algebra II are necessary. - Course Enrolment Limitations
- The course is also offered to the students of the fields other than those the course is directly associated with.
- fields of study / plans the course is directly associated with
- there are 6 fields of study the course is directly associated with, display
- Course objectives
- Understanding the basics of algebraic number theory.
- Learning outcomes
- At the end of this course, students should be able to:
* define basic notions of the studied theory;
* explain learned theoretical results;
* apply learned methods to concrete exercises. - Syllabus
- During the last semester we were studying rudiments of algebraic number theory. After recalling and improving this knowledge, the seminar will be devoted to the study of abelian number fields.
- Literature
- COX, David A. Primes of the form x² + ny² : Fermat, class field theory, and complex multiplication. New York, N.Y.: John Wiley & Sons, 1989, xi, 351. ISBN 0471190799. info
- Bookmarks
- https://is.muni.cz/ln/tag/PříF:M8195!
- Teaching methods
- In this semester, we will meet in person. Home preparation will play an important role.
- Assessment methods
- Credit will be given in case of active work in seminars - the study of the mentioned book during the term, regular solving of homework.
- Language of instruction
- Czech
- Further comments (probably available only in Czech)
- Study Materials
The course is taught each semester. - Teacher's information
- The lessons are usually in Czech or in English as needed, and the relevant terminology is always given with English equivalents. The target skills of the study include the ability to use the English language passively and actively in their own expertise and also in potential areas of application of mathematics. Assessment in all cases may be in Czech and English, at the student's choice.
- Enrolment Statistics (Spring 2024, recent)
- Permalink: https://is.muni.cz/course/sci/spring2024/M8195