Details

Fakultät	Math.-Nat. und Med. Fakultät
Bereich	Mathematik
Code	UE-SMA.04578
Sprachen	Englisch
Art der Unterrichtseinheit	Vorlesung
Kursus	Master
Semester	FS-2019

Titel

Französisch	Introduction à la théorie géométrique de la mesure
Deutsch	Einführung in die Geometrische Masstheorie
Englisch	Introduction to Geometric Measure Theory

Zeitplan und Räume

Kontaktstunden

56

Unterricht

Verantwortliche	Wenger Stefan
Dozenten-innen	Wenger Stefan
Beschreibung	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.
Lernziele	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.
Bemerkungen	zählt für Analysis
Soft Skills	Nein
ausserhalb des Bereichs	Nein
BeNeFri	Ja
Mobilität	Ja
UniPop	Nein

Dokument

Anhang

Course homepage

Mündliche Prüfung - FS-2019, Sommersession 2019

Bewertungsmodus	Nach Note
Beschreibung	examen oral

Mündliche Prüfung - FS-2019, Herbstsession 2019

Bewertungsmodus	Nach Note
Beschreibung	examen oral

Mündliche Prüfung - HS-2020, Wintersession 2021

Datum	04.02.2021 13:40 - 14:10
Bewertungsmodus	Nach Note
Beschreibung	examen oral

Mündliche Prüfung - FS-2021, Sommersession 2021

Bewertungsmodus	Nach Note
Beschreibung	examen oral