101.A21 AKANA Theory of Currents
This course is in all assigned curricula part of the STEOP.
This course is in at least 1 assigned curriculum part of the STEOP.

2024S, SE, 2.0h, 3.0EC


  • Semester hours: 2.0
  • Credits: 3.0
  • Type: SE Seminar
  • Format: Presence

Learning outcomes

After successful completion of the course, students are able to know the basic theory of currents, as well as the most important measure-theoretical results, and open problems, and will be able to hold a short-presentation about the topic.

Subject of course

Mathematical currents are, roughly speaking, distributions acting on the space of differential forms. They were originally introduced in order to solve Plateau's problem and are nowadays a powerful tool to generalize the notion of oriented submanifold in a measure-theoretical way. After reviewing basic notions of measure theory and differential forms, we will discuss the motivation for the introduction of currents, as well as their main properties and applications.

Teaching methods

The first presentations will be held by E. Davoli and E. Tasso, in order to recall some preliminary results and introduce basic theoretical concepts. All participants will then take turns in presenting at the blackboard some assigned material.

Mode of examination


Additional information

The first meeting will be organizational and will take place on March 5th at 11:00 in DA06G14 (Freihaus, 6th floor, Green).

Please consider the plagiarism guidelines of TU Wien when writing your seminar paper: Directive concerning the handling of plagiarism (PDF)



Examination modalities

Active participation and seminar presentations.

Course registration

Not necessary


Study CodeObligationSemesterPrecon.Info
860 GW Optional Courses - Technical Mathematics Not specified


No lecture notes are available.