## EVENT DETAILS AND ABSTRACT

**Dynamical Systems Seminar**
**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.

**Date:** Tuesday, May 05, 2015

**Time:** 4:00pm

**Where:** Lunt 104

**Contact Person:** Sara Lapan

**Contact email:** slapan@math.northwestern.edu

**Contact Phone:**

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