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Universität Augsburg
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Universität Augsburg
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Priv. Doz. Dr. Fernando Galaz-García
Durham University
spricht am
Montag, 3. Mai 2021
um
16 Uhr s.t.
im
Zoom
über das Thema:
| Abstract: |
| Manifolds that admit a double disk bundle decomposition have played an important role in the study of closed Riemannian manifolds with positive or nonnegative (sectional) curvature. In particular, the presence of such a decomposition has proven useful both in producing new examples and in proving classification results under additional symmetry assumptions. More generally, Grove's Double Soul Conjecture asserts that any closed simply connected manifold of nonnegative curvature is the union of two disk bundles, while the Bott Conjecture asserts that any closed simply connected nonnegative must be rationally elliptic. In this talk I will discuss different sources of examples as well as classification results for (rationally elliptic) double disk bundles in low dimensions. This is joint work with Jason DeVito and Martin Kerin. |
| Hierzu ergeht herzliche Einladung. |
| Prof. Dr. Bernhard Hanke |