(Tel Aviv University)
"Quasi-morphisms and quasi-states in symplectic topology"
In the present talk I focus on quasi-morphisms on groups of symplectic diffeomorphisms. They come from Floer theory -- the cornerstone of modern symplectic topology. I discuss a link to the theory of quasi-states - a recently emerged branch of functional analysis originated in quantum mechanics.
The talk is based on joint works math.SG/0205247, math.SG/0410338 with M.Entov and math.SG/0307011 with P.Biran and M.Entov.