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

Stefan Haller

Classes (iCal) - next class is marked with N

    
    Tuesday
    03.03.
    15:15 - 16:45
    (ehem. Seminarraum SSC Geo 2A180 1.OG UZA II)
    
    Tuesday
    10.03.
    15:15 - 16:45
    (ehem. Seminarraum SSC Geo 2A180 1.OG UZA II)
    
    Tuesday
    17.03.
    15:15 - 16:45
    (ehem. Seminarraum SSC Geo 2A180 1.OG UZA II)
    
    Tuesday
    24.03.
    15:15 - 16:45
    (ehem. Seminarraum SSC Geo 2A180 1.OG UZA II)
    
    Tuesday
    31.03.
    15:15 - 16:45
    (ehem. Seminarraum SSC Geo 2A180 1.OG UZA II)
    
    Tuesday
    21.04.
    15:15 - 16:45
    (ehem. Seminarraum SSC Geo 2A180 1.OG UZA II)
    
    Tuesday
    28.04.
    15:15 - 16:45
    (ehem. Seminarraum SSC Geo 2A180 1.OG UZA II)
    
    Tuesday
    05.05.
    15:15 - 16:45
    (ehem. Seminarraum SSC Geo 2A180 1.OG UZA II)
    
    Tuesday
    12.05.
    15:15 - 16:45
    (ehem. Seminarraum SSC Geo 2A180 1.OG UZA II)
    
    Tuesday
    19.05.
    15:15 - 16:45
    (ehem. Seminarraum SSC Geo 2A180 1.OG UZA II)
    
    Tuesday
    26.05.
    15:15 - 16:45
    (ehem. Seminarraum SSC Geo 2A180 1.OG UZA II)
    
    Tuesday
    09.06.
    15:15 - 16:45
    (ehem. Seminarraum SSC Geo 2A180 1.OG UZA II)
    
    Tuesday
    16.06.
    15:15 - 16:45
    (ehem. Seminarraum SSC Geo 2A180 1.OG UZA II)
    
    Tuesday
    23.06.
    15:15 - 16:45
    (ehem. Seminarraum SSC Geo 2A180 1.OG UZA II)
    
    Tuesday
    30.06.
    15:15 - 16:45
    (ehem. Seminarraum 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: Fr 01.07.2022 00:25