EVENT DETAILS AND ABSTRACT

Title: Parabolic Manifolds Associated to Formal Invariant Curves
Speaker: Liz Vivas
Speaker Info: Ohio State University
Brief Description:
Special Note:
Abstract:

Let F be a diffeomorphism of $\mathbb{C}^k$ at 0 that is tangent to the identity, that is F(0) = 0 and DF(0) = Id. Assume that there exists a formal invariant curve for F. We prove that, under some mild assumptions, there exist parabolic manifolds, and in particular parabolic curves asymptotic to the given formal invariant curve. This is joint work with Lorena Lopez-Hernanz.