Dynamics Seminar

Event Information Hedgehogs in higher dimensions
15:10 on Monday September 18, 2017
16:00 on Monday September 18, 2017
BA6183, Bahen Center, 40 St. George St.
Raluca Tanase

University of Toronto

Hedgehogs in dimension one were introduced by Perez-Marco in the '90s to study linearization properties and dynamics of holomorphic univalent germs of $(\mathbb{C},0)$ with a neutral fixed point. In this talk we discuss hedgehogs and their dynamics for germs of holomorphic diffeomorphisms of $(\mathbb{C}^{n},0)$ with a fixed point at the origin with exactly one neutral eigenvalue. This is based on joint work with T. Firsova, M. Lyubich, and R. Radu.