Room P3.10, Mathematics Building

Sheila Sandon, CNRS/IRMA
Floer homology for translated points

Based on the notion of translated points of contactomorphisms, in 2011 I proposed an analogue in contact topology of the Arnold conjecture on fixed points of Hamiltonian diffeomorphisms. In this talk I will present a proof, based on a variant of Floer homology that I am developing ad hoc to study this problem, in the case when there are no closed contractible Reeb orbits. In the exposition I will try to avoid technicalities and explain instead in details the variational principle that I am considering, the motivations behind it and, if time permits, some expected applications.