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Universität Augsburg
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Universität Augsburg
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Dr. Manuel Amann
Karlsruher Institut für Technologie
spricht am
Montag, 15. Dezember 2014
um
16:00 Uhr
im
Raum 2004 (L1)
über das Thema:
| Abstract: |
| Manifolds admitting metrics of positive sectional curvature are conjectured to have a very rigid topological structure. However, this structure is still highly speculative and best results in this direction are known under the assumption of Lie group actions. In this talk I shall try to illustrate this interplay between geometry, symmetry and topology. First, I shall present a way of bounding the Euler characteristic under the assumption of an isometric torus action. This will permit to find obstructions for symmetric spaces, manifold products and connected sums to admit positively curved metrics with symmetry, thus providing evidence for a conjecture of Hopf. Second, as a rather different transition from geometry to topology under symmetry, I shall discuss geometrically formal homogeneous metrics of positive curvature. Presented results come from joint work with Lee Kennard and Wolfgang Ziller, respectively. |
| Hierzu ergeht herzliche Einladung. |
Kaffee, Tee und Gebäck eine halbe Stunde vor Vortragsbeginn im Raum 2006 (L1).