Einführung in die algebraische Topologie / Introduction to algebraic topology

  • Teaching

    Details

    Faculty Faculty of Science and Medicine
    Domain Mathematics
    Code UE-SMA.03557
    Languages German , English
    Type of lesson Lecture
    Level Bachelor
    Semester SA-2019

    Title

    French Einführung in die algebraische Topologie
    German Einführung in die algebraische Topologie
    English Introduction to algebraic topology

    Schedules and rooms

    Summary schedule Wednesday 10:15 - 12:00, Hebdomadaire (Autumn semester)
    Thursday 10:15 - 12:00, Hebdomadaire (Autumn semester)
    Struct. of the schedule 2x2h par semaine durant 14 semaines
    Contact's hours 56

    Teaching

    Responsibles
    • Naique Dessai Gemsch Anand
    Teachers
    • Naique Dessai Gemsch Anand
    Description

    - Eulercharakteristik

    - Klassifikation von Flächen

    - simpliziale, singuläre, zelluläre und axiomatische Homologie

    - Eilenberg-Steenrod Axiome

    - homologische Algebra

    - Kohomologie

    - Anwendungen

    Training objectives Basic knowledge of the fundamental concepts of algebraic topology and its applications
    Comments Die Vorlesung zählt für Algebra, Geometrie und Topologie
    Softskills No
    Off field No
    BeNeFri Yes
    Mobility Yes
    UniPop No
  • Dates and rooms
    Date Hour Type of lesson Place
    18.09.2019 10:15 - 12:00 Cours PER 08, Room 2.52
    19.09.2019 10:15 - 12:00 Cours PER 12, Room 0.101
    25.09.2019 10:15 - 12:00 Cours PER 08, Room 2.52
    26.09.2019 10:15 - 12:00 Cours PER 12, Room 0.101
    02.10.2019 10:15 - 12:00 Cours PER 08, Room 2.52
    03.10.2019 10:15 - 12:00 Cours PER 12, Room 0.101
    09.10.2019 10:15 - 12:00 Cours PER 08, Room 2.52
    10.10.2019 10:15 - 12:00 Cours PER 12, Room 0.101
    16.10.2019 10:15 - 12:00 Cours PER 08, Room 2.52
    17.10.2019 10:15 - 12:00 Cours PER 12, Room 0.101
    23.10.2019 10:15 - 12:00 Cours PER 08, Room 2.52
    24.10.2019 10:15 - 12:00 Cours PER 12, Room 0.101
    30.10.2019 10:15 - 12:00 Cours PER 08, Room 2.52
    31.10.2019 10:15 - 12:00 Cours PER 12, Room 0.101
    06.11.2019 10:15 - 12:00 Cours PER 08, Room 2.52
    07.11.2019 10:15 - 12:00 Cours PER 12, Room 0.101
    13.11.2019 10:15 - 12:00 Cours PER 08, Room 2.52
    14.11.2019 10:15 - 12:00 Cours PER 12, Room 0.101
    20.11.2019 10:15 - 12:00 Cours PER 08, Room 2.52
    21.11.2019 10:15 - 12:00 Cours PER 12, Room 0.101
    27.11.2019 10:15 - 12:00 Cours PER 08, Room 2.52
    28.11.2019 10:15 - 12:00 Cours PER 12, Room 0.101
    04.12.2019 10:15 - 12:00 Cours PER 08, Room 2.52
    05.12.2019 10:15 - 12:00 Cours PER 12, Room 0.101
    11.12.2019 10:15 - 12:00 Cours PER 08, Room 2.52
    12.12.2019 10:15 - 12:00 Cours PER 12, Room 0.101
    18.12.2019 10:15 - 12:00 Cours PER 08, Room 2.52
    19.12.2019 10:15 - 12:00 Cours PER 12, Room 0.101
  • Assessments methods

    Oral exam - SA-2019, Session de printemps 2020

    Assessments methods By rating
    Descriptions of Exams

    COVID-19 - SS2020 / Exam session SUMMER 2020

    Oral Exam with physical presence

    Duration: 20' or 30' minutes

     

    examen oral

    Oral exam - SP-2020, Session d'été 2020

    Assessments methods By rating
    Descriptions of Exams

    COVID-19 - SS2020 / Exam session SUMMER 2020

    Oral Exam with physical presence

    Duration: 20' or 30' minutes

     

    examen oral

    Oral exam - SP-2020, Autumn Session 2020

    Assessments methods By rating
    Descriptions of Exams

    COVID-19 - SS2020 / Exam session SUMMER 2020

    Oral Exam with physical presence

    Duration: 20' or 30' minutes

     

    examen oral

  • 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 +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: 2022_1/V_01
    BSc in Mathematics, Major, 2nd-3rd year > Mathematics, Major, 2nd and 3rd years, elective courses (from AS2018 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: 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: 2022_1/V_01
    Prerequisite to the MSc in Mathematics > Advanced courses in Mathematics (Bachelor level)