Siegel der Universität Augsburg

Universität Augsburg
Institut für Mathematik

Siegel der Universität Augsburg

 

Oberseminar Differentialgeometrie

 

Dr. Georg Frenck
Universität Augsburg

 
spricht am
 
Montag, 18. Juli 2022
 
um
 
16 Uhr s.t.
 
im
 
Raum L1/2004 bzw. ZOOM (hybride Veranstaltung)
 
über das Thema:
 

»Spaces of positive scalar curvature metrics on totally nonspin manifolds«

Abstract:

In recent years, the Dirac operator on a spin manifold M has played a central role in the study of the space of positive scalar curvature metrics on M. In this talk, I will investigate, if it is possible to use index theory of the Dirac operator to study this space if the underlying manifold is totally nonspin, i.e. if its universal cover does not admit a spin structure. More precisely, I will answer the following 3 questions:

1. Can one use the Dirac-operator of a codimension 0 spin-submanifold to study the space of psc-metrics on M? 2. Can one use the Dirac-operator of the boundary to study the space of psc-metrics on a totally nonspin manifold M with spin boundary? 3. Are there ways to study the space of psc-metrics on M without employing Dirac-operators?


 

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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