Wintersemester 2019/20
Freitag, 10:30-11:30, Seminarraum 2 (Raum 204)
11.10.19 | BGHK Seminar in Köln |
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18.10.19 | Fernando Galaz-García (KIT) Smooth 2-torus actions on the 5-sphere Abstract: Isometric torus actions on closed, simply-connected Riemannian manifolds with positive and non-negative sectional curvature have been extensively studied. In dimension 5, Rong proved that a closed, simply-connected Riemannian 5-manifold M with positive sectional curvature and an isometric action of the 2-torus must be diffeomorphic to the 5-sphere. In the case where M is assumed to have non-negative sectional curvature, Searle and I obtained a classification up to diffeomorphism of such manifolds. With these classification results in place, a next natural step is to classify all possible actions of the 2-torus on a given manifold. In this talk I will discuss the general equivariant classification of smooth 2-torus actions on the 5-sphere, as well as the equivariant classification of isometric 2-torus actions on a 5-sphere with a Riemannian metric with positive sectional curvature. This is joint work with Diego Corro and Martin Kerin. |
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25.10.19 | BGHK Seminar in Heidelberg |
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15./16.11.19 | Geometric Dynamics Days in Aachen |
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22.11.19 | BGHK Seminar in Bochum |
H. Geiges, 5.4.02