Course Overview

The first section of the course will cover basic material, depending
on the students background. The second section will study in more
depth one or several more advanced subjects.

Learning Achievement

Competence

Course prerequisites

> Applicants should:

- Have completed, with good results, a Bachelor of science degree in
Mathematics or equivalent with a special focus on Algebra, Geometry
and Number Theory.
- Have thorough proficiency in written and spoken English.

Grading Philosophy

Exams take place in December.

Course schedule

> Program:

PART1:
- Dedekind rings - Valuations - Local fields - Number fields -
The Dedekind zeta function PART 2 (ONE OR MORE OF):
- A survey of class field theory - Local fields: ramification
groups, Herbrand function - L-functions - Diophantine equations
_> Bibliography:_
- P. Samuel: Théorie algébrique des nombres, Hermann, Paris, 1967.
- J. Neukirch: Algebraic number theory, GMW 322, Springer, 1999. -
Z. Borevich, I. Shafarevich: Number theory, Academic Press,1966. -
J.W.S. Cassels, A. Fröhlich (eds): Algebraic number theory, Academic
Press 1967. - J.-P. Serre: Corps locaux, Hermann Paris 1997.

Course type

> Lectures and practial work: - 57 cours hours. - 200 hours of personal study.

Online Course Requirement

Instructor

Other information

- This course is part of the ALGANT Joint Master Program.

- For further information on the program structure, partner
institutions, scholarship opportunities, etc., please visit: ALGANT
Erasmus Mundus. [http://algant.eu/]

Duration: 12 weeks (Fall Semester)

Language of instruction: English
Mode of delivery: Face-to-face teaching

Site for Inquiry