Universität Wien
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250010 PJ+SE Project seminar (algebraic topology) (2009S)

4.00 ECTS (2.00 SWS), SPL 25 - Mathematik
Continuous assessment of course work

Details

Language: German

Lecturers

Classes (iCal) - next class is marked with N

  • Tuesday 03.03. 15:15 - 16:45 Besprechungsraum SSC Geo 2A180 1.OG UZA II
  • Tuesday 10.03. 15:15 - 16:45 Besprechungsraum SSC Geo 2A180 1.OG UZA II
  • Tuesday 17.03. 15:15 - 16:45 Besprechungsraum SSC Geo 2A180 1.OG UZA II
  • Tuesday 24.03. 15:15 - 16:45 Besprechungsraum SSC Geo 2A180 1.OG UZA II
  • Tuesday 31.03. 15:15 - 16:45 Besprechungsraum SSC Geo 2A180 1.OG UZA II
  • Tuesday 21.04. 15:15 - 16:45 Besprechungsraum SSC Geo 2A180 1.OG UZA II
  • Tuesday 28.04. 15:15 - 16:45 Besprechungsraum SSC Geo 2A180 1.OG UZA II
  • Tuesday 05.05. 15:15 - 16:45 Besprechungsraum SSC Geo 2A180 1.OG UZA II
  • Tuesday 12.05. 15:15 - 16:45 Besprechungsraum SSC Geo 2A180 1.OG UZA II
  • Tuesday 19.05. 15:15 - 16:45 Besprechungsraum SSC Geo 2A180 1.OG UZA II
  • Tuesday 26.05. 15:15 - 16:45 Besprechungsraum SSC Geo 2A180 1.OG UZA II
  • Tuesday 09.06. 15:15 - 16:45 Besprechungsraum SSC Geo 2A180 1.OG UZA II
  • Tuesday 16.06. 15:15 - 16:45 Besprechungsraum SSC Geo 2A180 1.OG UZA II
  • Tuesday 23.06. 15:15 - 16:45 Besprechungsraum SSC Geo 2A180 1.OG UZA II
  • Tuesday 30.06. 15:15 - 16:45 Besprechungsraum SSC Geo 2A180 1.OG UZA II

Information

Aims, contents and method of the course

We will study basic concepts in topological K-theory including Bott periodicity and Adams operations. As an application we will discuss Adams' proof of the "Hopf invariant one" problem. An immediate consequence is a result of Kervaire and Milnor which asserts that a finite dimensional real division algebra must have dimension 1,2,4, or 8.
We will mainly follow the text "Vector Bundles & K-Theory" by A. Hatcher.
No previous knowledge from algebraic topology will be assumed.

Assessment and permitted materials

Seminar talk and active participation.

Minimum requirements and assessment criteria

To become familiar with the basics of topological K-theory and its applications.

Examination topics

Talks by the students based on the text by A. Hatcher.

Reading list

[] A. Hatcher, Vector Bundles & K-Theory.
Frei erhältlich unter: http://www.math.cornell.edu/~hatcher/VBKT/VBpage.html

Association in the course directory

MGES

Last modified: Tu 02.07.2024 00:17