Universität Augsburg
Institut für Mathematik

Siegel der Universität Augsburg

 

Oberseminar Differentialgeometrie

 

Professor Dr. Roman Sauer
Karlsruher Institut für Technologie

 
spricht am
 
Montag, 12. April 2021
 
um
 
16 Uhr s.t.
 
im
 
Zoom
 
über das Thema:
 

»Action on Cantor spaces and macroscopic scalar curvature«

Abstract:
We prove the macroscopic cousins of three conjectures: 1) a conjectural bound of the simplicial volume of a Riemannian manifold in the presence of a lower scalar curvature bound, 2) the conjecture that rationally essential manifolds do not admit metrics of positive scalar curvature, 3) a conjectural bound of ℓ²-Betti numbers of aspherical Riemannian manifolds in the presence of a lower scalar curvature bound. The macroscopic cousin is the statement one obtains by replacing a lower scalar curvature bound by an upper bound on the volumes of 1-balls in the universal cover. Group actions on Cantor spaces surprisingly play an important role in the proof. The talk is based on joint work with Sabine Braun.

 

Hierzu ergeht herzliche Einladung.
Prof. Dr. Bernhard Hanke



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