# 118.943 Algebraic Number Theory This course is in all assigned curricula part of the STEOP.\$(function(){PrimeFaces.cw("Tooltip","widget_j_id_21",{id:"j_id_21",showEffect:"fade",hideEffect:"fade",target:"isAllSteop"});});This course is in at least 1 assigned curriculum part of the STEOP.\$(function(){PrimeFaces.cw("Tooltip","widget_j_id_23",{id:"j_id_23",showEffect:"fade",hideEffect:"fade",target:"isAnySteop"});});

2020S, VO, 3.0h, 4.5EC

## 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

1st lecuture: Th March 12

## Course dates

DayTimeDateLocationDescription
Thu10:00 - 12:0012.03.2020 - 25.06.2020 Meeting Room, Freihaus, green area, 5th floorAlgebraic Number Theory
Mon08:00 - 09:0016.03.2020 - 29.06.2020 Freihaus, room no. DA08B19Algebraic Number Theory
Algebraic Number Theory - Single appointments
DayDateTimeLocationDescription
Thu12.03.202010:00 - 12:00 Meeting Room, Freihaus, green area, 5th floorAlgebraic Number Theory
Mon16.03.202008:00 - 09:00 Freihaus, room no. DA08B19Algebraic Number Theory
Thu19.03.202010:00 - 12:00 Meeting Room, Freihaus, green area, 5th floorAlgebraic Number Theory
Mon23.03.202008:00 - 09:00 Freihaus, room no. DA08B19Algebraic Number Theory
Thu26.03.202010:00 - 12:00 Meeting Room, Freihaus, green area, 5th floorAlgebraic Number Theory
Mon30.03.202008:00 - 09:00 Freihaus, room no. DA08B19Algebraic Number Theory
Thu02.04.202010:00 - 12:00 Meeting Room, Freihaus, green area, 5th floorAlgebraic Number Theory
Mon20.04.202008:00 - 09:00 Freihaus, room no. DA08B19Algebraic Number Theory
Thu23.04.202010:00 - 12:00 Meeting Room, Freihaus, green area, 5th floorAlgebraic Number Theory
Mon27.04.202008:00 - 09:00 Freihaus, room no. DA08B19Algebraic Number Theory
Thu30.04.202010:00 - 12:00 Meeting Room, Freihaus, green area, 5th floorAlgebraic Number Theory
Mon04.05.202008:00 - 09:00 Freihaus, room no. DA08B19Algebraic Number Theory
Thu07.05.202010:00 - 12:00 Meeting Room, Freihaus, green area, 5th floorAlgebraic Number Theory
Mon11.05.202008:00 - 09:00 Freihaus, room no. DA08B19Algebraic Number Theory
Thu14.05.202010:00 - 12:00 Meeting Room, Freihaus, green area, 5th floorAlgebraic Number Theory
Mon18.05.202008:00 - 09:00 Freihaus, room no. DA08B19Algebraic Number Theory
Mon25.05.202008:00 - 09:00 Freihaus, room no. DA08B19Algebraic Number Theory
Thu28.05.202010:00 - 12:00 Meeting Room, Freihaus, green area, 5th floorAlgebraic Number Theory
Thu04.06.202010:00 - 12:00 Meeting Room, Freihaus, green area, 5th floorAlgebraic Number Theory
Mon08.06.202008:00 - 09:00 Freihaus, room no. DA08B19Algebraic Number Theory

Oral exam.

## Course registration

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

## Literature

No lecture notes are available.

German