Universität Wien
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250125 VO Algebraic Topology 2 (2024W)

6.00 ECTS (4.00 SWS), SPL 25 - Mathematik
Moodle
Tu 21.01. 11:30-13:00 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock

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Details

Language: English

Lecturers

Classes (iCal) - next class is marked with N

  • Tuesday 01.10. 11:30 - 13:00 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 02.10. 09:45 - 11:15 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 08.10. 11:30 - 13:00 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 09.10. 09:45 - 11:15 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 15.10. 11:30 - 13:00 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 16.10. 09:45 - 11:15 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 22.10. 11:30 - 13:00 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 23.10. 09:45 - 11:15 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 29.10. 11:30 - 13:00 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 30.10. 09:45 - 11:15 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 05.11. 11:30 - 13:00 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 06.11. 09:45 - 11:15 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 12.11. 11:30 - 13:00 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 13.11. 09:45 - 11:15 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 19.11. 11:30 - 13:00 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 20.11. 09:45 - 11:15 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 26.11. 11:30 - 13:00 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 27.11. 09:45 - 11:15 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 03.12. 11:30 - 13:00 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 04.12. 09:45 - 11:15 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 10.12. 11:30 - 13:00 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 11.12. 09:45 - 11:15 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 17.12. 11:30 - 13:00 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 07.01. 11:30 - 13:00 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 08.01. 09:45 - 11:15 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 14.01. 11:30 - 13:00 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 15.01. 09:45 - 11:15 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 22.01. 09:45 - 11:15 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 28.01. 11:30 - 13:00 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
  • Wednesday 29.01. 09:45 - 11:15 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock

Information

Aims, contents and method of the course

This is the second part of the course in Algebraic Topology. The main topics we aim to cover are:
-Cohomology
-Poincare duality
-Homotopy theory
-Fibrations

if time permits:
-Obstruction Theory and Classifying Spaces
-Spectral sequences

The course is designed for students who have already attended Algebraic Topology, or at least have acquired a working knowledge of Homology.

Assessment and permitted materials

written or oral exam at the end of the semester or presentation of a topic during the semester

Minimum requirements and assessment criteria

demonstration of knowledge of the material of the course

Examination topics

material of the course

Reading list

-Allen Hatcher: Algebraic Topology
-Anatoly Fomenko, Dmitry Fuchs: Homotopical Topology
-James F. Davis and Paul Kirk: Lecture Notes in Algebraic Topology
-Phillip Griffiths, John Morgan: Rational Homotopy Theory and Differential Forms
-Allen Hatcher: Vector Bundles and K-Theory

lecture notes:
-John Etnyre: Topics in Algebraic Topology
-James F. Davis, Paul Kirk: Lecture Notes in Algebraic Topology

Association in the course directory

MGEV

Last modified: Fr 22.11.2024 09:26