Introduction to Geometric Measure Theory

  • Teaching

    Details

    Faculty Faculty of Science and Medicine
    Domain Mathematics
    Code UE-SMA.03578
    Languages English
    Type of lesson Lecture
    Level Bachelor
    Semester SP-2022

    Title

    French Introduction à la théorie géométrique de la mesure
    German Einführung in die Geometrische Masstheorie
    English Introduction to Geometric Measure Theory

    Schedules and rooms

    Summary schedule Thursday 13:15 - 15:00, Hebdomadaire (Spring semester)
    Friday 10:15 - 12:00, Hebdomadaire (Spring semester)
    Contact's hours
    		56

    Teaching

    Responsibles
    • Wenger Stefan
    Teachers
    • Wenger Stefan
    Description

    The following problem, called Plateau's problem, lies at the origins of Geometric Measure Theory: Does every Jordan curve bound a surface of minimal area? The name goes back to the Belgian physicist Joseph Plateau who made extensive experiments with soap films in order to find an answer to this problem.

    One of the principal achievements of Geometric Measure Theory has been to develop a sufficiently rich and powerful theory of "surfaces" which can be used to solve this problem and many related geometric variational problems.

    This course provides an introduction to Geometric Measure Theory. Prerequisite: a basic understanding of measure theory, for example from the course Mesure et Intégration (MA.3400/4400).
    Training objectives

    Good understanding of the basics of GMT, through examples and theory. Knowledge of classical as well as recent results.
    Acquisition of the analytic background in order to solve problems in the area.
    Comments zählt für Analysis
    Softskills No
    Off field No
    BeNeFri Yes
    Mobility Yes
    UniPop No
  • Dates and rooms
    Date Hour Type of lesson Place
    24.02.2022 13:15 - 15:00 Cours PER 08, Room 2.52
    25.02.2022 10:15 - 12:00 Cours PER 08, Room 2.52
    03.03.2022 13:15 - 15:00 Cours PER 08, Room 2.52
    04.03.2022 10:15 - 12:00 Cours PER 08, Room 2.52
    10.03.2022 13:15 - 15:00 Cours PER 08, Room 2.52
    11.03.2022 10:15 - 12:00 Cours PER 08, Room 2.52
    17.03.2022 13:15 - 15:00 Cours PER 08, Room 2.52
    18.03.2022 10:15 - 12:00 Cours PER 08, Room 2.52
    24.03.2022 13:15 - 15:00 Cours PER 08, Room 2.52
    25.03.2022 10:15 - 12:00 Cours PER 08, Room 2.52
    31.03.2022 13:15 - 15:00 Cours PER 08, Room 2.52
    01.04.2022 10:15 - 12:00 Cours PER 08, Room 2.52
    07.04.2022 13:15 - 15:00 Cours PER 08, Room 2.52
    08.04.2022 10:15 - 12:00 Cours PER 08, Room 2.52
    14.04.2022 13:15 - 15:00 Cours PER 08, Room 2.52
    28.04.2022 13:15 - 15:00 Cours PER 08, Room 2.52
    29.04.2022 10:15 - 12:00 Cours PER 08, Room 2.52
    05.05.2022 13:15 - 15:00 Cours PER 08, Room 2.52
    06.05.2022 10:15 - 12:00 Cours PER 08, Room 2.52
    12.05.2022 13:15 - 15:00 Cours PER 08, Room 2.52
    13.05.2022 10:15 - 12:00 Cours PER 08, Room 2.52
    19.05.2022 13:15 - 15:00 Cours PER 08, Room 2.52
    20.05.2022 10:15 - 12:00 Cours PER 08, Room 2.52
    02.06.2022 13:15 - 15:00 Cours PER 08, Room 2.52
    03.06.2022 10:15 - 12:00 Cours PER 08, Room 2.52
  • Assessments methods

    Oral exam

    Assessments methods By rating
    Descriptions of Exams 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]
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    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 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)