Détails

Faculté	Faculté des sciences et de médecine
Domaine	Mathématiques
Code	UE-SMA.03558
Langues	Allemand , Anglais
Type d'enseignement	Cours
Cursus	Bachelor
Semestre(s)	SA-2022

Titre

Français	Surfaces minimales
Allemand	Minimalflächen
Anglais	Minimal surfaces

Horaires et salles

Horaire résumé	Lundi 15:15 - 17:00, Hebdomadaire (Semestre d'automne) Vendredi 08:15 - 10:00, Hebdomadaire (Semestre d'automne)
Heures de contact	56

Enseignement

Responsables	Wenger Stefan
Enseignants	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.
Objectifs de formation	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.
Commentaire	Richtung: Analysis, Algebra-Geometrie-Topologie
Softskills	Non
Hors domaine	Non
BeNeFri	Oui
Mobilité	Oui
UniPop	Non

Examen oral - SA-2022, Session d'hiver 2023

Mode d'évaluation	Par note
Description	mündliche Prüfung