Symplectic Dynamics Working Group

I will discuss some technical details regarding properties of feral pseuodoholomorphic curves, specifically those properties arising from stretching constructions and as components of limit buildings arising from attempts to compactify certain moduli spaces of finite energy curves. The focus will be on those properties necessary to show the existence of a closed invariant subset of any smooth compact hypersurface in R^4. These properties will include exponential area bounds, the connected-local area bound, and asymptotic curvature bounds.