Siegel der Universität Augsburg

Universität Augsburg
Institut für Mathematik

 Siegel der Universität Augsburg

 

Oberseminar Differentialgeometrie

 

Dr. Wolfgang Steimle
Universität Bonn
 
spricht am
 
Montag, 5. Dezember 2011
 
um
 
16:00 Uhr
 
im
 
Raum 2004 (L1)
 
über das Thema:
 

»K-theoretic obstructions to fibering a manifold«

Abstract:
Given a map f: M --> B between compact manifolds, is it homotopic to the projection map of a fiber bundle whose fibers are compact manifolds? Obstructions in higher algebraic K-theory to fibering the given map f will be defined. These refine the obstructions recently defined by Farrell-Lueck-Steimle; the vanishing of these obstructions has a concrete geometrical meaning: the obstructions are zero if and only if f fibers stably, i.e. after crossing M with a high-dimensional disk. The methods also provide a classification of the different ways of stably fibering f in terms of algebraic K-theory.

 

Hierzu ergeht herzliche Einladung.
 

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


[Impressum]      [Datenschutz]      wwwadm@math.uni-augsburg.de,    Mo 7-Nov-2011 09:57:39 MEZ