Hauptseminar Geometrie

Aubry-Mather theory studies distinguished sets which are invariant under the ow associated to a convex Hamiltonian H on a cotangent bundle. These sets arise as the support of so-called Mather measures. Symplectic topol- ogy studies properties imposed on the ow by the (symplectic) topology of the cotangent bundle. It is interesting to understand how these theories can play together. In this talk I will show how dierent techniques from symplectic topology give rise to incarnations of Mather's -function and that its relation to invariant measures continues to hold: Mather measures exist. I will discuss applications to Hamiltonian system on closed symplectic manifolds, R2n and twisted cotangent bundles.

Dienstag, den 23. Oktober 2018 um 13.00 Uhr, in Mathematicon, INF 205, SR C Dienstag, den 23. Oktober 2018 at 13.00, in Mathematicon, INF 205, SR C

Der Vortrag folgt der Einladung von The lecture takes place at invitation by Prof. Peter Albers