Geometric function theory

  • Teaching

    Details

    Faculty Faculty of Science and Medicine
    Domain Mathematics
    Code UE-SMA.04577
    Languages English
    Type of lesson Lecture
    Level Master
    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, Session d'été 2021

    Date 24.06.2021 10:00 - 15:00
    Assessments methods By rating
    Descriptions of Exams examen oral

    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 > 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 +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 [3e cycle]
    Version: 2015_1/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)