Universität Augsburg
|
Dr. Yannis Bähni
ETH Zürich
spricht am
Montag, 29. April 2024
um
16 Uhr s.t.
im
Raum 2004 (L1)
über das Thema:
Abstract: |
In this talk we review Schlenk's theorem about the existence of contractible periodic Reeb orbits on stable, displaceable hypersurfaces in symplectically aspherical, geometrically bounded, symplectic manifolds. In particular, Schlenk's theorem yields an upper bound for the systole of star-shaped hypersurfaces in terms of the displacement energy of the hypersurface. In the convex case, we expect equality due to a conjecture of Viterbo. We explain, how the equality of the systole and the displacement energy can be used to derive bounds for the ratio of the symmetric systole and the standard systole in the presence of a discrete symmetry. This is work in progress with Seongchan Kim. |
Hierzu ergeht herzliche Einladung. |
Prof. Dr. Urs Frauenfelder |
Kaffee, Tee und Gebäck eine halbe Stunde vor Vortragsbeginn im Raum 2006 (L1).