Siegel der Universität Augsburg

Universität Augsburg
Institut für Mathematik

 Siegel der Universität Augsburg

 

Augsburger Mathematisches Kolloquium

 

Professor Dr. Wolfgang Lück
HIM (Hausdorff Research Institute for Mathematics)
 
spricht am
 
Dienstag, 23. Mai 2017
 
um
 
17:30 Uhr
 
im
 
Raum 2004 (L1)
 
über das Thema:
 

»Aspherical manifolds, what we know and what we do not know. «

Abstract:
Aspherical closed manifolds arise very often in topology, for instance in low dimensional topology, closed Riemannian manifolds with non-positive sectional curvature and so on. We want to give a survey about open problems (and their status) such as the Borel Conjecture about topological rigidity, the Novikov Conjecture about the topological invariance of higher signatures, the Singer Conjecture about the distribution of $L^2$-Betti numbers, approximation of $L^2-torsion, and the realizablility of Poincare duality groups as fundamental groups of aspherical closed manifolds. Moreover, we present results about the rational homotopy groups of the group of diffeomorphisms and homeomorphisms of aspherical closed manifolds and the problem which hyperbolic groups have the standard sphere as boundary.

 

Hierzu ergeht herzliche Einladung.
Prof. Dr. Wolfgang Steimle
 

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


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