Universität Wien

250091 VO Algebraic topology (2021W)

6.00 ECTS (4.00 SWS), SPL 25 - Mathematik
MIXED
Moodle

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Details

Language: English

Examination dates

Lecturers

Classes (iCal) - next class is marked with N

Both lectures are online on the link:

https://univienna.zoom.us/j/6219689264?pwd=YzNEMkRCMkFSbUZWVzVpUmdXaEUvZz09

Meeting ID: 621 968 9264

Passcode: torus

  • Tuesday 05.10. 11:30 - 13:00 Digital
    Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
  • Thursday 07.10. 12:30 - 14:00 Hörsaal 15 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 12.10. 11:30 - 13:00 Digital
    Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
  • Thursday 14.10. 12:30 - 14:00 Hörsaal 15 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 19.10. 11:30 - 13:00 Digital
    Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
  • Thursday 21.10. 12:30 - 14:00 Hörsaal 15 Oskar-Morgenstern-Platz 1 2.Stock
  • Thursday 28.10. 12:30 - 14:00 Hörsaal 15 Oskar-Morgenstern-Platz 1 2.Stock
  • Thursday 04.11. 12:30 - 14:00 Hörsaal 15 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 09.11. 11:30 - 13:00 Digital
    Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
  • Thursday 11.11. 12:30 - 14:00 Hörsaal 15 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 16.11. 11:30 - 13:00 Digital
    Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
  • Thursday 18.11. 12:30 - 14:00 Hörsaal 15 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 23.11. 11:30 - 13:00 Digital
    Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
  • Thursday 25.11. 12:30 - 14:00 Hörsaal 15 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 30.11. 11:30 - 13:00 Digital
    Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
  • Thursday 02.12. 12:30 - 14:00 Hörsaal 15 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 07.12. 11:30 - 13:00 Digital
    Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
  • Thursday 09.12. 12:30 - 14:00 Hörsaal 15 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 14.12. 11:30 - 13:00 Digital
    Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
  • Thursday 16.12. 12:30 - 14:00 Hörsaal 15 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 11.01. 11:30 - 13:00 Digital
    Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
  • Thursday 13.01. 12:30 - 14:00 Hörsaal 15 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 18.01. 11:30 - 13:00 Digital
    Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
  • Thursday 20.01. 12:30 - 14:00 Hörsaal 15 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 25.01. 11:30 - 13:00 Digital
    Seminarraum 9 Oskar-Morgenstern-Platz 1 2.Stock
  • Thursday 27.01. 12:30 - 14:00 Hörsaal 15 Oskar-Morgenstern-Platz 1 2.Stock

Information

Aims, contents and method of the course

This is an introductory course in algebraic topology. We will begin by covering the basics of homotopy theory, fundamental groups and covering spaces. We then move on to homology theory from various perspectives. Finally, we will develop as much cohomology theory as possible before the end of the semester.

Assessment and permitted materials

Oral exam (in case that presence examination is not possible then: oral exam on zoom)

Minimum requirements and assessment criteria

basic understanding of point-set topology, linear algebra and group theory

Examination topics

The contents of the course.

Reading list

Main textbook:

-Hatcher: Algebraic Topology (available online at http://pi.math.cornell.edu/~hatcher/AT/ATpage.html )

other books:

Brendon: Topology and Geometry
Fomenko and Fuchs: Homotopical Topology
Dieck: Algebraic Topology

Association in the course directory

MGET

Last modified: Fr 12.05.2023 00:21