Théorie algébrique des nombres / Algebraische Zahlentheorie / Algebraic Number Theory
-
Teaching
Details
Faculty Faculty of Science and Medicine Domain Mathematics Code UE-SMA.03217 Languages French , English, German Type of lesson Lecture
Level Bachelor Semester SA-2021 Title
French Théorie algébrique des nombres German Algebraische Zahlentheorie English Algebraic Number Theory Schedules and rooms
Summary schedule Monday 10:15 - 12:00, Hebdomadaire
Tuesday 10:15 - 12:00, Hebdomadaire
Contact's hours 56 Teaching
Responsibles Teachers Description Die Vorlesung behandelt algebraische und geometrische Methoden der algebraischen Zahlentheorie.
Höhepunkte sind der Fundamentalsatz der Arithmetik für den Ganzheitsring eines algebraischen Zahlkörpers und verschiedene Anwendungen mit Hilfe des Satzes von Minkowski zur Geometrie der Zahlen.Training objectives Die Vorlesung ist eine Einführung in die Algebraische Zahlentheorie. Mit Methoden der Algebra und der Geometrie werden zahlentheoretische Ergebnisse wie der Satz von Kummer - ein Spezialfall vom Grossen Fermatschen Satz - hergeleitet. Der leichteren Zugänglichkeit wegen werden "klassische" Wege beschritten, die ohne Galois- und Bewegungstheorie auskommen. Comments zählt für Algebra-Geometrie-Topologie
Softskills No Off field No BeNeFri Yes Mobility Yes UniPop No -
Dates and rooms
Date Hour Type of lesson Place 20.09.2021 10:15 - 12:00 Cours PER 08, Room 2.73 21.09.2021 10:15 - 12:00 Cours PER 08, Room 2.52 27.09.2021 10:15 - 12:00 Cours PER 08, Room 2.73 28.09.2021 10:15 - 12:00 Cours PER 08, Room 2.52 04.10.2021 10:15 - 12:00 Cours PER 08, Room 2.73 05.10.2021 10:15 - 12:00 Cours PER 08, Room 2.52 11.10.2021 10:15 - 12:00 Cours PER 08, Room 2.73 12.10.2021 10:15 - 12:00 Cours PER 08, Room 2.52 18.10.2021 10:15 - 12:00 Cours PER 08, Room 2.73 19.10.2021 10:15 - 12:00 Cours PER 08, Room 2.52 25.10.2021 10:15 - 12:00 Cours PER 08, Room 2.73 26.10.2021 10:15 - 12:00 Cours PER 08, Room 2.52 02.11.2021 10:15 - 12:00 Cours PER 08, Room 2.52 08.11.2021 10:15 - 12:00 Cours PER 08, Room 2.73 09.11.2021 10:15 - 12:00 Cours PER 08, Room 2.52 16.11.2021 10:15 - 12:00 Cours PER 08, Room 2.52 22.11.2021 10:15 - 12:00 Cours PER 08, Room 2.73 23.11.2021 10:15 - 12:00 Cours PER 08, Room 2.52 29.11.2021 10:15 - 12:00 Cours PER 08, Room 2.73 30.11.2021 10:15 - 12:00 Cours PER 08, Room 2.52 06.12.2021 10:15 - 12:00 Cours PER 08, Room 2.73 07.12.2021 10:15 - 12:00 Cours PER 08, Room 2.52 13.12.2021 10:15 - 12:00 Cours PER 08, Room 2.73 14.12.2021 10:15 - 12:00 Cours PER 08, Room 2.52 20.12.2021 10:15 - 12:00 Cours PER 08, Room 2.73 21.12.2021 10:15 - 12:00 Cours PER 08, Room 2.52 -
Assessments methods
Oral exam - SA-2021, Session d'hiver 2022
Assessments methods By rating Descriptions of Exams mündliche Prüfung -
Assignment
Valid for the following curricula: Additional Courses in Sciences
Version: ens_compl_sciences
Paquet indépendant des branches > Advanced courses in Mathematics (Bachelor level)
Additional Programme Requirements to the MSc in Computer Science [MA]
Version: 2018_1/V_01
Supplement to the MSc in Computer science > Advanced courses in Mathematics (Bachelor level)
Additional Programme Requirements to the MSc in Computer Science [MA]
Version: 2020_1/V_01
Supplement to the MSc in Computer science > Advanced courses in Mathematics (Bachelor level)
Additional Programme Requirements to the MSc in Mathematics [MA]
Version: 2020_1/V_01
Supplement to the MSc in Mathematics > Advanced courses in Mathematics (Bachelor level)
Additional TDHSE programme in Mathematics
Version: 2020_1/V_01
Additional TDHSE Programme Requirements for Mathematics 60 or +30 > Programme 60 or +30 > Additional Programme Requirements to Mathematics +30 > Additional TDHSE programme for Mathematics +30 (from AS2018 on)Additional TDHSE Programme Requirements for Mathematics 60 or +30 > Programme 60 or +30 > Additional Programme Requirements to Mathematics 60 > Additional TDHSE programme for Mathematics 60 (from AS2018 on)
Mathematics 120
Version: 2020_1/V_01
BSc in Mathematics, Major, 2nd-3rd year > Mathematics, Major, 2nd and 3rd years, elective courses (from AS2018 on)
Mathematics +30 [MA] 30
Version: 2020_1/V_01
Minor in Mathematics +30 (MATH+30 for 90 ECTS) > Mathematics +30, Module C (from AS2020 on)
Mathematics 30 for Mathematicians (MATH 30MA)
Version: 2020_1/V_01
Mathematics for mathematicians (MATH 30MA), minor 30 (from AS2020 on) > Mathematics, minor MATH 30MA, elective courses (from AS2018 on)
Mathematics 30 for Physicists (MATH 30PH)
Version: 2020_1/V_01
Mathematics for physicists (MATH 30PH), minor 30 (from AS2020 on) > Mathematics, minor MATH 30PH, elective courses (from AS2018 on)
Mathematics 60 (MATH 60)
Version: 2020_1/V_01
Mathematics (MATH 60), minor 60 (from AS2020 on) > Mathematics, minor MATH60, elective courses (from AS2018 on)
Mathematics [3e cycle]
Version: 2015_1/V_01
Continuing education > Advanced courses in Mathematics (Bachelor level)
Mathematics [POST-DOC]
Version: 2015_1/V_01
Continuing education > Advanced courses in Mathematics (Bachelor level)
Pre-Master-Programme to the MSc in Mathematics [PRE-MA]
Version: 2020_1/V_01
Prerequisite to the MSc in Mathematics > Advanced courses in Mathematics (Bachelor level)