Details

Fakultät	Math.-Nat. und Med. Fakultät
Bereich	Mathematik
Code	UE-SMA.03558
Sprachen	Deutsch , Englisch
Art der Unterrichtseinheit	Vorlesung
Kursus	Bachelor
Semester	SA-2020

Titel

Französisch	Surfaces minimales
Deutsch	Minimalflächen
Englisch	Minimal surfaces

Zeitplan und Räume

Vorlesungszeiten	Donnerstag 13:15 - 15:00, Wöchentlich (Herbstsemester) Freitag 10:15 - 12:00, Wöchentlich (Herbstsemester)
Kontaktstunden	56

Unterricht

Verantwortliche	Wenger Stefan
Dozenten-innen	Wenger Stefan
Beschreibung	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.
Lernziele	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.
Bemerkungen	Richtung: Analysis, Algebra-Geometrie-Topologie
Soft Skills	Nein
ausserhalb des Bereichs	Nein
BeNeFri	Ja
Mobilität	Ja
UniPop	Nein

Mündliche Prüfung - SA-2020, Wintersession 2021

Datum	04.02.2021 10:30 - 13:30
Bewertungsmodus	Nach Note
Beschreibung	mündliche Prüfung