Minimalflächen / Minimal surfaces

  • Teaching

    Details

    Faculty Faculty of Science and Medicine
    Domain Mathematics
    Code UE-SMA.03558
    Languages English , German
    Type of lesson Lecture
    Level Bachelor
    Semester SA-2022

    Title

    French Surfaces minimales
    German Minimalflächen
    English Minimal surfaces

    Schedules and rooms

    Summary schedule Monday 15:15 - 17:00, Hebdomadaire (Autumn semester)
    Friday 08:15 - 10:00, Hebdomadaire (Autumn semester)
    Contact's hours
    		56

    Teaching

    Responsibles
    • Wenger Stefan
    Teachers
    • Wenger Stefan
    Description The study of minimal surfaces has attracted the attention of
    mathematicians since the 18th century and its problems stimulated the
    development of many neighbouring domains of mathematics, notably complex analysis, Partial Differential Equations, and Geometric Measure Theory.
    The present course gives an introduction to the theory of minimal
    surfaces and covers classical as well as modern aspects. Topics include:
    first and second variation of area, parametric and non-parametric
    minimal surfaces, Bernstein's theorem and recent generalizations,
    Weierstrass representation, examples, Plateau's problem, branch points,
    functions of bounded variation and existence and regularity of minimal
    hypersurfaces in higher dimensions. The students will develop a good
    understanding of the basics of minimal surface theory, through examples
    and theory. They will learn about classical as well as recent results
    and acquire the analytic background which allows them to solve problems
    in the area. Prerequisites for the course are Analysis I - IV;
    familiarity with Riemannian Geometry and PDEs is helpful but not a
    prerequisite.
    Training objectives Good understanding of the basics of minimal surface theory, 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 Richtung: Analysis, Algebra-Geometrie-Topologie
    Softskills No
    Off field No
    BeNeFri Yes
    Mobility Yes
    UniPop No
  • Dates and rooms
    Date Hour Type of lesson Place
    19.09.2022 15:15 - 17:00 Cours PER 23, Room 0.05
    23.09.2022 08:15 - 10:00 Cours PER 23, Room 0.05
    26.09.2022 15:15 - 17:00 Cours PER 23, Room 0.05
    30.09.2022 08:15 - 10:00 Cours PER 23, Room 0.05
    03.10.2022 15:15 - 17:00 Cours PER 23, Room 0.05
    07.10.2022 08:15 - 10:00 Cours PER 23, Room 0.05
    10.10.2022 15:15 - 17:00 Cours PER 23, Room 0.05
    14.10.2022 08:15 - 10:00 Cours PER 23, Room 0.05
    17.10.2022 15:15 - 17:00 Cours PER 23, Room 0.05
    21.10.2022 08:15 - 10:00 Cours PER 23, Room 0.05
    24.10.2022 15:15 - 17:00 Cours PER 23, Room 0.05
    28.10.2022 08:15 - 10:00 Cours PER 23, Room 0.05
    31.10.2022 15:15 - 17:00 Cours PER 23, Room 0.05
    04.11.2022 08:15 - 10:00 Cours PER 23, Room 0.05
    07.11.2022 15:15 - 17:00 Cours PER 23, Room 0.05
    11.11.2022 08:15 - 10:00 Cours PER 23, Room 0.05
    14.11.2022 15:15 - 17:00 Cours PER 23, Room 0.05
    18.11.2022 08:15 - 10:00 Cours PER 23, Room 0.05
    21.11.2022 15:15 - 17:00 Cours PER 23, Room 0.05
    25.11.2022 08:15 - 10:00 Cours PER 23, Room 0.05
    28.11.2022 15:15 - 17:00 Cours PER 23, Room 0.05
    02.12.2022 08:15 - 10:00 Cours PER 23, Room 0.05
    05.12.2022 15:15 - 17:00 Cours PER 23, Room 0.05
    09.12.2022 08:15 - 10:00 Cours PER 23, Room 0.05
    12.12.2022 15:15 - 17:00 Cours PER 23, Room 0.05
    16.12.2022 08:15 - 10:00 Cours PER 23, Room 0.05
    19.12.2022 15:15 - 17:00 Cours PER 23, Room 0.05
    23.12.2022 08:15 - 10:00 Cours PER 23, Room 0.05
  • Assessments methods

    Oral exam - SA-2022, Session d'hiver 2023

    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: 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)