Siegel der Universität Augsburg

Universität Augsburg
Institut für Mathematik

 Siegel der Universität Augsburg

 

Oberseminar Differentialgeometrie

 

Herr Daniel Luckhardt
Universität Göttingen
 
spricht am
 
Montag, 19. Juni 2017
 
um
 
16:00 Uhr
 
im
 
Raum 2004 (L1)
 
über das Thema:
 

»Benjamini-Schramm convergence of normalized characteristic numbers«

Abstract:
On the class of closed Riemannian manifolds with Ricci curvature and injectivity radius bounded from below we study the parameter given by a characteristic number over the volume of the manifold. The domain of this parameter is endowed with the Benjamini-Schramm (BS) topology, a weak version of pointed Gromov-Hausdorff convergence. This parameter is continuous and has a continuous extension to the completion of its domain in the BS topology. From the known fact that this completion is compact one can derive a testability result for characteristic numbers as well as a uniform bound on any fixed characteristic number in terms of the volume.

 

Hierzu ergeht herzliche Einladung.
Prof. Dr. Bernhard Hanke
 

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


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