Details

Faculty	Faculty of Science and Medicine
Domain	Mathematics
Code	UE-SMA.04558
Languages	English , German
Type of lesson	Lecture
Level	Master
Semester	SA-2020

Title

French	Surfaces minimales
German	Minimalflächen
English	Minimal surfaces

Schedules and rooms

Summary schedule	Thursday 13:15 - 15:00, Hebdomadaire (Autumn semester) Friday 10:15 - 12:00, 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

Oral exam - SA-2020, Session d'hiver 2021

Date	03.02.2021 09:50 - 15:40
Assessments methods	By rating
Descriptions of Exams	mündliche Prüfung

Oral exam - SP-2021, Session d'été 2021

Assessments methods	By rating
Descriptions of Exams	mündliche Prüfung

Oral exam - SP-2021, Autumn Session 2021

Assessments methods	By rating
Descriptions of Exams	mündliche Prüfung