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 AS-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 (Autumn semester)
    Tuesday 10:15 - 12:00, Hebdomadaire (Autumn semester)
    Contact's hours
    		56

    Teaching

    Responsibles
    • Kellerhals Ruth
    Teachers
    • Kellerhals Ruth
    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 - AS-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: 2022_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: 2022_1/V_01
    Supplement to the MSc in Mathematics > Advanced courses in Mathematics (Bachelor level)
    Additional TDHSE programme in Mathematics
    Version: 2022_1/V_01
    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)
    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)
    Mathematics 120
    Version: 2022_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: 2022_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: 2022_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: 2022_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: 2022_1/V_01
    Mathematics (MATH 60), minor 60 (from AS2020 on) > Mathematics, minor MATH60, elective courses (from AS2018 on)
    Mathematics [3e cycle]
    Version: 2024_2/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: 2022_1/V_01
    Prerequisite to the MSc in Mathematics > Advanced courses in Mathematics (Bachelor level)