Universität Wien

250165 VO Geometry of homogeneous spaces (2019S)

5.00 ECTS (3.00 SWS), SPL 25 - Mathematik

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Details

Language: English

Examination dates

Lecturers

Classes (iCal) - next class is marked with N

  • Monday 04.03. 13:15 - 14:45 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 05.03. 13:15 - 14:45 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 11.03. 13:15 - 14:45 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 18.03. 13:15 - 14:45 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 19.03. 13:15 - 14:45 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 25.03. 13:15 - 14:45 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 26.03. 13:15 - 14:45 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 01.04. 13:15 - 14:45 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 02.04. 13:15 - 14:45 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 08.04. 13:15 - 14:45 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 09.04. 13:15 - 14:45 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 29.04. 13:15 - 14:45 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 30.04. 13:15 - 14:45 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 06.05. 13:15 - 14:45 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 07.05. 13:15 - 14:45 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 13.05. 13:15 - 14:45 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 14.05. 13:15 - 14:45 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 20.05. 13:15 - 14:45 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 21.05. 13:15 - 14:45 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 27.05. 13:15 - 14:45 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 28.05. 13:15 - 14:45 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 03.06. 13:15 - 14:45 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 04.06. 13:15 - 14:45 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 17.06. 13:15 - 14:45 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 18.06. 13:15 - 14:45 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 24.06. 13:15 - 14:45 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 25.06. 13:15 - 14:45 Seminarraum 8 Oskar-Morgenstern-Platz 1 2.Stock

Information

Aims, contents and method of the course

The course is situated at the intersection of classical geometry, differential geometry and Lie theory. The main topic is the study of invariant geometric structures on homogeneous spaces and the reduction of such questions to linear algebra or representation theory. Several examples will be discussed in detail. To develop the theory we will introduce a substantial part of the language of modern differential geometry, in particular the theory of bundles and connections.

Assessment and permitted materials

oral exam

Minimum requirements and assessment criteria

sufficient knowledge of the main contents of the course on the ususal level of topics courses in the master program

Examination topics

the contents of the course

Reading list

Rough lecture notes and additional materials will be posted online at https://www.mat.univie.ac.at/~cap/lectnotes.html in due time.

Association in the course directory

MGEV

Last modified: Mo 07.09.2020 15:40