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The systole of a contact manifold is the minimal period of periodic Reeb orbits. Two miracles of systoles happen for convex hypersurfaces. First, systoles measure the symplectic size of convex hypersurfaces. Second, there is a bound on the systole of a convex hypersurface in terms of the volume (namely, a contact systolic inequality). After reviewing such facts, I will talk about some extensions of these phenomena to general contact manifolds. This is joint work with Gabriele Benedetti.
Donnerstag, den 12. Juli 2018 um 12:00-13:00 Uhr, in Mathematikon, INF 205, Konferenzraum, 5. Stock Donnerstag, den 12. Juli 2018 at 12:00-13:00, in Mathematikon, INF 205, Konferenzraum, 5. Stock
Der Vortrag folgt der Einladung von The lecture takes place at invitation by Prof. P. Albers