Geometric function theory

  • Teaching

    Details

    Faculty Faculty of Science and Medicine
    Domain Mathematics
    Code UE-SMA.03577
    Languages English
    Type of lesson Lecture
    Level Bachelor
    Semester SP-2021

    Title

    French Théorie géométrique des fonctions
    German Geometrische Funktionentheorie
    English Geometric function theory

    Schedules and rooms

    Summary schedule Tuesday 08:15 - 10:00, Hebdomadaire (Spring semester)
    Thursday 08:15 - 10:00, Hebdomadaire (Spring semester)
    Contact's hours
    		56

    Teaching

    Responsibles
    • Ghanaat Patrick
    Teachers
    • Ghanaat Patrick
    Description

    The course provides an introduction to geometric aspects of one-dimensional complex analysis

    Topics:
    Conformal mapping, conformal metrics and curvature, Picard's theorems, Bergman kernel and Bergman metric, univalent functions, uniformization of Riemann surfaces

    Website:
    http://homeweb.unifr.ch/ghanaatp/pub/geometric-function-2021.html
    Training objectives On successful completion of the course, students will be familiar with essential concepts, facts, methods and lines of reasoning in the field of geometric function theory. They will be able to use the scientific literature in the field and to solve moderately complex problems.
    Comments zählt für Analysis
    Softskills No
    Off field No
    BeNeFri Yes
    Mobility Yes
    UniPop No
  • Dates and rooms
    Date Hour Type of lesson Place
    23.02.2021 08:15 - 10:00 Cours PER 08, Room 2.52
    25.02.2021 08:15 - 10:00 Cours PER 12, Room 0.101
    02.03.2021 08:15 - 10:00 Cours PER 08, Room 2.52
    04.03.2021 08:15 - 10:00 Cours PER 12, Room 0.101
    09.03.2021 08:15 - 10:00 Cours PER 08, Room 2.52
    11.03.2021 08:15 - 10:00 Cours PER 12, Room 0.101
    16.03.2021 08:15 - 10:00 Cours PER 08, Room 2.52
    18.03.2021 08:15 - 10:00 Cours PER 12, Room 0.101
    23.03.2021 08:15 - 10:00 Cours PER 08, Room 2.52
    25.03.2021 08:15 - 10:00 Cours PER 12, Room 0.101
    30.03.2021 08:15 - 10:00 Cours PER 08, Room 2.52
    01.04.2021 08:15 - 10:00 Cours PER 12, Room 0.101
    13.04.2021 08:15 - 10:00 Cours PER 08, Room 2.52
    15.04.2021 08:15 - 10:00 Cours PER 12, Room 0.101
    20.04.2021 08:15 - 10:00 Cours PER 08, Room 2.52
    22.04.2021 08:15 - 10:00 Cours PER 12, Room 0.101
    27.04.2021 08:15 - 10:00 Cours PER 08, Room 2.52
    29.04.2021 08:15 - 10:00 Cours PER 12, Room 0.101
    04.05.2021 08:15 - 10:00 Cours PER 08, Room 2.52
    06.05.2021 08:15 - 10:00 Cours PER 12, Room 0.101
    11.05.2021 08:15 - 10:00 Cours PER 08, Room 2.52
    18.05.2021 08:15 - 10:00 Cours PER 08, Room 2.52
    20.05.2021 08:15 - 10:00 Cours PER 12, Room 0.101
    25.05.2021 08:15 - 10:00 Cours PER 08, Room 2.52
    27.05.2021 08:15 - 10:00 Cours PER 12, Room 0.101
    01.06.2021 08:15 - 10:00 Cours PER 08, Room 2.52
  • Assessments methods

    Oral exam - SP-2021, Autumn Session 2021

    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]
    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 [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)