EVENT DETAILS AND ABSTRACT

Title: Quasi-morphisms continuous for the C^0-topology on groups of area-preserving diffeomorphisms of surfaces
Speaker: Professor Pierre Py
Speaker Info: University of Chicago
Brief Description:
Special Note:
Abstract:

I will recall the notion of a quasi-morphism on a group and describe a few examples of quasi-morphisms defined on groups of Hamiltonian diffeomorphisms of surfaces. Then we will try to answer the following question: which quasi-morphisms on these groups are continuous for the C0-topology? This question is related to the problem of the simplicity of the group of compactly supported area-preserving homeomorphisms of the disc. This is based on a joint work with M. Entov and L. Polterovich. This is also related to a recent work of Le Roux.