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Arbeitsgruppe Differentialgeometrie

Kollegiengebäude Mathematik (20.30)
Zimmer 1.003
Ute Peters

Institut für Algebra und Geometrie
Englerstr. 2
76131 Karlsruhe

Mo-Fr 09:00-15:00
Für Studierende:
Mo-Fr 09:15-11:15

Tel.: 0721 608 43943

Fax.: 0721 608 46909

AG Differentialgeometrie (Sommersemester 2019)

Dozent: Prof. Dr. Wilderich Tuschmann
Veranstaltungen: Seminar (0176100)
Semesterwochenstunden: 2

Seminar: Donnerstag 15:45-17:15 SR 2.66
Seminarleitung Prof. Dr. Wilderich Tuschmann
Sprechstunde:  n. V.
Zimmer 1.002 Kollegiengebäude Mathematik (20.30)
Email: tuschmann@kit.edu



Georg Frenck (Universität Münster)

The action of Diff(M) on the space of psc metrics

In 1974, Nigel Hitchin showed that the orbit map associated to the action of the diffeomorphism group of the d-dimensional sphere on the space of its positive scalar curvature metrics induces a nontrivial map on components provided that d = 0,1 mod 8. Hence, this map detects 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 high enough dimension, so Hitchin’s detection result is the only possible one of this kind for high-dimensional spheres.


Oliver Goertsches (Philipps-Universität Marburg)




Joachim Lohkamp (Universität Münster)

Hyperbolic unfoldingss of minimal hypersurfaces

Minimal Hypersurfaces may carry delicate singularities and both the regular
part of the surface but also the elliptic analysis on such surfaces degenerate towards these
singularities. Nevertheless, we get a surprisingly fine control over the asymptotic analysis of
elliptic equations on these surfaces. This is owing to canonical conformal deformations of the
regular part of the surface to complete Gromov hyperbolic spaces of bounded geometry,
the hyperbolic unfoldings. We introduce to these unfoldings and explain some striking
geometro-analytic applications in potential theory and in scalar curvature geometry.