Morsetheorie / Morse theory

  • Teaching

    Details

    Faculty Faculty of Science and Medicine
    Domain Mathematics
    Code UE-SMA.04510
    Languages English , German
    Type of lesson Lecture
    Level Master
    Semester SS-2023

    Title

    French Morsetheorie
    German Morsetheorie
    English Morse theory

    Schedules and rooms

    Summary schedule Monday 15:15 - 17:00, Hebdomadaire (Spring semester)
    Thursday 10:15 - 12:00, Hebdomadaire (Spring semester)

    Teaching

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

    The course gives an introduction to Morse theory. The methods provided are important for the study of many problems in topology, geometry and global analysis. Topics of the course include immersions and embeddings, transversality theorems, Morse theory and its application to topology (e.g. topological robotics) and to geometry.
    Training objectives

    Knowledge of basic methods used in Morse theory. Familiarity with embedding and transversality theorems and the basic facts about Morse functions. A good understanding of how to apply these methods to problems in geometry and topology.
    Comments

    counts for Algebra/Geometry/Topology and Analysis
    Softskills No
    Off field No
    BeNeFri Yes
    Mobility Yes
    UniPop No
  • Dates and rooms
    Date Hour Type of lesson Place
    20.02.2023 15:15 - 17:00 Cours PER 23, Room 0.05
    23.02.2023 10:15 - 12:00 Cours PER 23, Room 0.05
    27.02.2023 15:15 - 17:00 Cours PER 23, Room 0.05
    02.03.2023 10:15 - 12:00 Cours PER 23, Room 0.05
    06.03.2023 15:15 - 17:00 Cours PER 23, Room 0.05
    09.03.2023 10:15 - 12:00 Cours PER 23, Room 0.05
    13.03.2023 15:15 - 17:00 Cours PER 23, Room 0.05
    16.03.2023 10:15 - 12:00 Cours PER 23, Room 0.05
    20.03.2023 15:15 - 17:00 Cours PER 23, Room 0.05
    23.03.2023 10:15 - 12:00 Cours PER 23, Room 0.05
    27.03.2023 15:15 - 17:00 Cours PER 23, Room 0.05
    30.03.2023 10:15 - 12:00 Cours PER 23, Room 0.05
    03.04.2023 15:15 - 17:00 Cours PER 23, Room 0.05
    06.04.2023 10:15 - 12:00 Cours PER 23, Room 0.05
    17.04.2023 15:15 - 17:00 Cours PER 23, Room 0.05
    20.04.2023 10:15 - 12:00 Cours PER 23, Room 0.05
    24.04.2023 15:15 - 17:00 Cours PER 23, Room 0.05
    27.04.2023 10:15 - 12:00 Cours PER 23, Room 0.05
    01.05.2023 15:15 - 17:00 Cours PER 23, Room 0.05
    04.05.2023 10:15 - 12:00 Cours PER 23, Room 0.05
    08.05.2023 15:15 - 17:00 Cours PER 23, Room 0.05
    11.05.2023 10:15 - 12:00 Cours PER 23, Room 0.05
    15.05.2023 15:15 - 17:00 Cours PER 23, Room 0.05
    22.05.2023 15:15 - 17:00 Cours PER 23, Room 0.05
    25.05.2023 10:15 - 12:00 Cours PER 23, Room 0.05
    01.06.2023 10:15 - 12:00 Cours PER 23, Room 0.05
  • Assessments methods

    Oral exam - SS-2023, Session d'été 2023

    Assessments methods By rating

    Oral exam - SS-2023, Autumn Session 2023

    Assessments methods By rating
  • Assignment
    Valid for the following curricula:
    Additional Courses in Sciences
    Version: ens_compl_sciences
    Paquet indépendant des branches > Specialized courses in Mathematics (Master level)
    Additional programme requirements for PhD studies [PRE-DOC]
    Version: 2020_1/v_01
    Additional programme requirements for PhD studies (Faculty of Science and Medicine) > Specialized courses in Mathematics (Master level)
    MSc in Mathematics [MA] 90
    Version: 2022_1/V_01
    MSc in Mathematics, lectures and seminars (from AS2020 on) > MSc-MA, lectures (from AS2018 on)
    Mathematics [3e cycle]
    Version: 2024_2/V_01
    Continuing education > Specialized courses in Mathematics (Master level)
    Mathematics [POST-DOC]
    Version: 2015_1/V_01
    Continuing education > Specialized courses in Mathematics (Master level)