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Universität Augsburg
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Universität Augsburg
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Professor Ph.D. Ruobing Zhang
UC San Diego
spricht am
Donnerstag, 4. Dezember 2025
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17:30 Uhr
im
Raum 2004 (L1)
über das Thema:
| Abstract: |
| How to “visualize” the shape of a manifold is always a central theme in modern differential geometry. At the technical level, Riemannian metrics that arise in optimizing certain curvature functionals often serve this purpose. This talk will explore several approaches to “visualizing” the shapes of manifolds via Einstein metrics, a class of canonical metrics that optimize the Einstein-Hilbert functional. We will focus on both the global topological effects of such metrics and their refined metric geometric behavior at large and small scales. The primary objects of this talk are Einstein metrics with zero and negative scalar curvature. We will summarize known pictures as well as new clues and expectations for future exploration. |
| Hierzu ergeht herzliche Einladung. |
| Prof. Dr. Bernhard Hanke |
Kaffee, Tee und Gebäck eine halbe Stunde vor Vortragsbeginn im Raum 2006 (L1).