Classical systolic geometry asks for upper bounds on the length of shortest non-contractible loops on closed Riemannian manifolds with given volume. Similar questions can be formulated for simply connected manifolds, like the two-sphere, by replacing shortest non-contractible loops by shortest closed geodesics. I will discuss how some methods from Hamiltonian dynamics can be used in order to get sharp inequalities in this and in more general settings.
Donnerstag, den 6. Dezember 2018 um 17.15 Uhr, in INF 205, HS Mathematikon Donnerstag, den 6. Dezember 2018 at 17.15, in INF 205, HS Mathematikon
Der Vortrag folgt der Einladung von The lecture takes place at invitation by Prof. P. Albers