Siegel der Universität Augsburg

Universität Augsburg
Institut für Mathematik

 Siegel der Universität Augsburg

 

Oberseminar Differentialgeometrie

 

Priv. Doz. Dr. Thomas Püttmann,
Ruhr-Universität Bochum
 
spricht am
 
Montag, 23. Mai 2011
 
um
 
16:00 Uhr
 
im
 
Raum 3008 (L1)
 
über das Thema:
 

»On the commutator of unit quaternions«

Abstract:
The quaternions are non-commutative. The deviation from commutativity is encapsulated in the commutator of unit quaternions. It is known that the k-th power of the commutator is null-homotopic if and only if k is divisible by 12. The main purpose of this paper is to construct a concrete null-homotopy of the 12-th power of the commutator. Subsequently, we construct free S3-actions on S7×S3 whose quotients are exotic 7-sphere and give a geometric explanation for the order 24 of the stable homotopy groups πn+3 (Sn).

 

Hierzu ergeht herzliche Einladung.
 

Kaffee, Tee und Gebäck eine halbe Stunde vor Vortragsbeginn im Raum 2006 (L1).


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