Siegel der Universität Augsburg

Universität Augsburg
Institut für Mathematik

 Siegel der Universität Augsburg

 

Oberseminar Differentialgeometrie

 

Herr Jackson Goodman
University of Pennsylvania
 
spricht am
 
Montag, 12. November 2018
 
um
 
17:00 Uhr
 
im
 
Raum 3008 (L1)
 
über das Thema:
 

»Spin^c Dirac operators and moduli spaces of metrics.«

Abstract:
The Kreck-Stolz s invariant is used to distinguish connected components of the moduli space of positive scalar curvature metrics. We use the Spin^c Dirac operator to generalize a formula of Kreck and Stolz for the s invariant of S^1 invariant metrics with positive scalar curvature. We then apply it to show that the moduli spaces of metrics with nonnegative sectional curvature on certain 7-manifolds have infinitely many path components. These include certain positively curved Eschenburg and Aloff-Wallach spaces. Furthermore, we use a Spin^c version of the s invariant to discuss moduli spaces of metrics of positive scalar and twisted scalar curvature on Spin^c manifolds.

 

Hierzu ergeht herzliche Einladung.
Prof. Dr. Bernhard Hanke
 

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


[Impressum]      [Datenschutz]      wwwadm@math.uni-augsburg.de,     Fr 26-Okt-2018 17:07:00 MESZ