Details

Faculty	Faculty of Science and Medicine
Domain	Mathematics
Code	UE-SMA.04578
Languages	English
Type of lesson	Lecture
Level	Master
Semester	SS-2019

Title

French	Introduction à la théorie géométrique de la mesure
German	Einführung in die Geometrische Masstheorie
English	Introduction to Geometric Measure Theory

Schedules and rooms

Contact's hours

56

Teaching

Responsibles	Wenger Stefan
Teachers	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.
Training objectives	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.
Comments	zählt für Analysis
Softskills	No
Off field	No
BeNeFri	Yes
Mobility	Yes
UniPop	No

Documents

Files and attachments

Course homepage

Oral exam - SS-2019, Session d'été 2019

Assessments methods	By rating
Descriptions of Exams	examen oral

Oral exam - SS-2019, Autumn Session 2019

Assessments methods	By rating
Descriptions of Exams	examen oral

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

Date	04.02.2021 13:40 - 14:10
Assessments methods	By rating
Descriptions of Exams	examen oral

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

Assessments methods	By rating
Descriptions of Exams	examen oral