Universität Wien

250040 VO Selected topics in differential geometry and partial differential equations (2008W)

(Exterior Differential Systems)

5.00 ECTS (3.00 SWS), SPL 25 - Mathematik

weitere Informationen unter http://www.mat.univie.ac.at/~cap/ankws0809.html

Details

Language: German

Lecturers

Classes (iCal) - next class is marked with N

  • Tuesday 07.10. 11:00 - 13:00 Hörsaal 1 2A120 1.OG UZA II Geo-Zentrum
  • Wednesday 08.10. 11:00 - 13:00 Seminarraum
  • Tuesday 14.10. 11:00 - 13:00 Hörsaal 1 2A120 1.OG UZA II Geo-Zentrum
  • Wednesday 15.10. 11:00 - 13:00 Seminarraum
  • Tuesday 21.10. 11:00 - 13:00 Hörsaal 1 2A120 1.OG UZA II Geo-Zentrum
  • Wednesday 22.10. 11:00 - 13:00 Seminarraum
  • Tuesday 28.10. 11:00 - 13:00 Hörsaal 1 2A120 1.OG UZA II Geo-Zentrum
  • Wednesday 29.10. 11:00 - 13:00 Seminarraum
  • Tuesday 04.11. 11:00 - 13:00 Hörsaal 1 2A120 1.OG UZA II Geo-Zentrum
  • Wednesday 05.11. 11:00 - 13:00 Seminarraum
  • Tuesday 11.11. 11:00 - 13:00 Hörsaal 1 2A120 1.OG UZA II Geo-Zentrum
  • Wednesday 12.11. 11:00 - 13:00 Seminarraum
  • Tuesday 18.11. 11:00 - 13:00 Hörsaal 1 2A120 1.OG UZA II Geo-Zentrum
  • Wednesday 19.11. 11:00 - 13:00 Seminarraum
  • Tuesday 25.11. 11:00 - 13:00 Hörsaal 1 2A120 1.OG UZA II Geo-Zentrum
  • Wednesday 26.11. 11:00 - 13:00 Seminarraum
  • Tuesday 02.12. 11:00 - 13:00 Hörsaal 1 2A120 1.OG UZA II Geo-Zentrum
  • Wednesday 03.12. 11:00 - 13:00 Seminarraum
  • Tuesday 09.12. 11:00 - 13:00 Hörsaal 1 2A120 1.OG UZA II Geo-Zentrum
  • Wednesday 10.12. 11:00 - 13:00 Seminarraum
  • Tuesday 16.12. 11:00 - 13:00 Hörsaal 1 2A120 1.OG UZA II Geo-Zentrum
  • Wednesday 17.12. 11:00 - 13:00 Seminarraum
  • Wednesday 07.01. 11:00 - 13:00 Seminarraum
  • Tuesday 13.01. 11:00 - 13:00 Hörsaal 1 2A120 1.OG UZA II Geo-Zentrum
  • Wednesday 14.01. 11:00 - 13:00 Seminarraum
  • Tuesday 20.01. 11:00 - 13:00 Hörsaal 1 2A120 1.OG UZA II Geo-Zentrum
  • Wednesday 21.01. 11:00 - 13:00 Seminarraum
  • Tuesday 27.01. 11:00 - 13:00 Hörsaal 1 2A120 1.OG UZA II Geo-Zentrum
  • Wednesday 28.01. 11:00 - 13:00 Seminarraum

Information

Aims, contents and method of the course

exterior differential systems, Pfaffian systems, geometric reformulation of partial differential equations via jets, tableaux and Cartan's test, various versions of the Cartan-Kähler theorem

Assessment and permitted materials

oral exam

Minimum requirements and assessment criteria

The geometric approach to PDEs and their formulation via jets and exterior differential systems. Cartan's test as an algorithmic way to decide solvability and various versions of the Cartan-Kähler theorem on solvability.

Examination topics

lecture, on demand in english.

Reading list

T.A. Ivey, J.M. Landsberg "Cartan for beginners: differential geometry via moving frames and exterior differential systems. " Graduate Studies in Mathematics, 61, Amer. Math. Soc. (2003)

Association in the course directory

MGEV

Last modified: Th 31.10.2024 00:15