118.943 Algebraic Number Theory
This course is in all assigned curricula part of the STEOP.
This course is in at least 1 assigned curriculum part of the STEOP.

2020S, VO, 3.0h, 4.5EC

TUWEL course

Properties

Semester hours: 3.0
Credits: 4.5
Type: VO Lecture

Learning outcomes

After successful completion of the course, students are able to

explain the ideal-structure of algebraic integral rings and to deduce their main properties,
define algebraic number fields and to formulate applications,
apply Galois theory to algebraic number fields,
explain the concept of Dedekind domains and to deduce their mein properties
formulate and apply the Dirichlet unit theorem and to sketch its proof,
explain the class number of algebraic number fields and to calculate it for quadratic number fields and
to sketch the ideas and methods that are needed to proof the main theorems.

basic concepts of algebraic number theory, in particular with the ideal structure of integral rings of algebraic number fields.

Subject of course

Algebraic number fields, Galois theory, Dedekind rings, Dirichlet's unit theorem, class number

Teaching methods

Blackboard lecture

Mode of examination

Oral

Additional information

Video lectures:

https://owncloud.tuwien.ac.at/index.php/s/vX4Jux1iaMvCyJE
https://owncloud.tuwien.ac.at/index.php/s/M5QMbUXiPmKHZGI
https://owncloud.tuwien.ac.at/index.php/s/pQkR5ng7cSGbRLk
https://owncloud.tuwien.ac.at/index.php/s/gYFRyfTI5BVblxg
https://owncloud.tuwien.ac.at/index.php/s/ivE5bV1NSQflt07
https://owncloud.tuwien.ac.at/index.php/s/UCkphLPr7VzUgkn
https://owncloud.tuwien.ac.at/index.php/s/rZp6os2ewEhnG2q
https://owncloud.tuwien.ac.at/index.php/s/sbJpdAR97dmhgq6
https://owncloud.tuwien.ac.at/index.php/s/2hCXWMglK0KRdYN
https://owncloud.tuwien.ac.at/index.php/s/W5dcZfow2IJmzUj
https://owncloud.tuwien.ac.at/index.php/s/hjWQPx48AR1Y5lY

Lecturers

Drmota, Michael

Institute

E104 Institute of Discrete Mathematics and Geometry

Course dates

Day	Time	Date	Location	Description
Thu	10:00 - 12:00	12.03.2020 - 25.06.2020	Meeting Room, Freihaus, green area, 5th floor	Algebraic Number Theory
Mon	08:00 - 09:00	16.03.2020 - 29.06.2020	Freihaus, room no. DA08B19	Algebraic Number Theory

Show single appointments

Algebraic Number Theory - Single appointments

Day	Date	Time	Location	Description
Thu	12.03.2020	10:00 - 12:00	Meeting Room, Freihaus, green area, 5th floor	Algebraic Number Theory
Mon	16.03.2020	08:00 - 09:00	Freihaus, room no. DA08B19	Algebraic Number Theory
Thu	19.03.2020	10:00 - 12:00	Meeting Room, Freihaus, green area, 5th floor	Algebraic Number Theory
Mon	23.03.2020	08:00 - 09:00	Freihaus, room no. DA08B19	Algebraic Number Theory
Thu	26.03.2020	10:00 - 12:00	Meeting Room, Freihaus, green area, 5th floor	Algebraic Number Theory
Mon	30.03.2020	08:00 - 09:00	Freihaus, room no. DA08B19	Algebraic Number Theory
Thu	02.04.2020	10:00 - 12:00	Meeting Room, Freihaus, green area, 5th floor	Algebraic Number Theory
Mon	20.04.2020	08:00 - 09:00	Freihaus, room no. DA08B19	Algebraic Number Theory
Thu	23.04.2020	10:00 - 12:00	Meeting Room, Freihaus, green area, 5th floor	Algebraic Number Theory
Mon	27.04.2020	08:00 - 09:00	Freihaus, room no. DA08B19	Algebraic Number Theory
Thu	30.04.2020	10:00 - 12:00	Meeting Room, Freihaus, green area, 5th floor	Algebraic Number Theory
Mon	04.05.2020	08:00 - 09:00	Freihaus, room no. DA08B19	Algebraic Number Theory
Thu	07.05.2020	10:00 - 12:00	Meeting Room, Freihaus, green area, 5th floor	Algebraic Number Theory
Mon	11.05.2020	08:00 - 09:00	Freihaus, room no. DA08B19	Algebraic Number Theory
Thu	14.05.2020	10:00 - 12:00	Meeting Room, Freihaus, green area, 5th floor	Algebraic Number Theory
Mon	18.05.2020	08:00 - 09:00	Freihaus, room no. DA08B19	Algebraic Number Theory
Mon	25.05.2020	08:00 - 09:00	Freihaus, room no. DA08B19	Algebraic Number Theory
Thu	28.05.2020	10:00 - 12:00	Meeting Room, Freihaus, green area, 5th floor	Algebraic Number Theory
Thu	04.06.2020	10:00 - 12:00	Meeting Room, Freihaus, green area, 5th floor	Algebraic Number Theory
Mon	08.06.2020	08:00 - 09:00	Freihaus, room no. DA08B19	Algebraic Number Theory

Examination modalities

Oral exam.

Course registration

Begin	End	Deregistration end
15.04.2020 12:00	31.07.2020 12:00	31.07.2020 12:00

Curricula

Study Code	Obligation	Semester	Precon.	Info
860 GW Optional Courses - Technical Mathematics	Not specified

Literature

No lecture notes are available.

Language

German