Détails

Faculté	Faculté des sciences et de médecine
Domaine	Mathématiques
Code	UE-SMA.04578
Langues	Anglais
Type d'enseignement	Cours
Cursus	Master
Semestre(s)	SP-2019

Titre

Français	Introduction à la théorie géométrique de la mesure
Allemand	Einführung in die Geometrische Masstheorie
Anglais	Introduction to Geometric Measure Theory

Horaires et salles

Heures de contact

56

Enseignement

Responsables	Wenger Stefan
Enseignants	Wenger Stefan
Description	The following problem, called Plateau's problem, lies at the origins of Geometric Measure Theory: Does every Jordan curve bound a surface of minimal area? The name goes back to the Belgian physicist Joseph Plateau who made extensive experiments with soap films in order to find an answer to this problem. One of the principal achievements of Geometric Measure Theory has been to develop a sufficiently rich and powerful theory of surfaces which can be used to solve this problem and many related geometric variational problems. This course provides an introduction to Geometric Measure Theory. Prerequisites are the course Mesure et Intégration (MA.3400/4400) and a good understanding of submanifolds and differential forms. A course on Functional Analysis is recommended but not strictly required.
Objectifs de formation	Good understanding of the basics of GMT, 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	zählt für Analysis
Softskills	Non
Hors domaine	Non
BeNeFri	Oui
Mobilité	Oui
UniPop	Non

Documents

Fichiers annexes

Course homepage

Examen oral - SP-2019, Session d'été 2019

Mode d'évaluation	Par note
Description	examen oral

Examen oral - SP-2019, Session d'automne 2019

Mode d'évaluation	Par note
Description	examen oral

Examen oral - SA-2020, Session d'hiver 2021

Date	04.02.2021 13:40 - 14:10
Mode d'évaluation	Par note
Description	examen oral

Examen oral - SP-2021, Session d'été 2021

Mode d'évaluation	Par note
Description	examen oral