# Universität AugsburgInstitut für Mathematik

Oberseminar Differentialgeometrie

Herr Georg Frenck
Universität Münster

spricht am

Montag, 29. April 2019

um

16:00 Uhr

im

Raum 2004 (L1)

über das Thema:

## »The action of Diff(M) on metrics of positive scalar curvature«

 Abstract: In 1974, Nigel Hitchin showed that the orbit map associated to the action of the diffeomorphism group of the d-dimensional sphere on its space of positive scalar curvature metrics induces a nontrivial map on components provided that d=0,1 mod 8. Hence, this map can be used to detect non-isotopic psc metrics. In this talk, I will present a rigidity result for this action. Among other applications, it implies that the orbit map for the sphere is trivial in every other dimension bigger than 6. So Hitchin’s detection result is the only possible one of this kind for high-dimensional spheres.

 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,     Di 23-Apr-2019 13:18:50 MESZ