Seminar Event Detail

Complex Analysis, Dynamics and Geometry

 Date:  Monday, January 13, 2014 Location:  3096 East Hall (4:00 PM to 5:00 PM) Title:  The pinched ball model for Henon mappings Abstract:   Our best description of Julia sets for polynomials in one variable comes from laminations invariant under $z\mapsto z^d$, leading to the {\em pinched disk model}. I will describe this, and an attempt at generalizing this description to H\'enon maps, leading to a pinched ball model''. Unlike the case of polynomials, where invariant laminations are well understood, we have only the faintest idea of what invariant laminations'' might exist for H\'enon mappings. Files: Speaker:  John Hubbard Institution:  Cornell Event Organizer: