Title: Understanding wandering domains in several complex variables
Abstract:
Sullivan's famous non-wandering domains theorem states that the Fatou components of a rational function on the Riemann sphere are all periodic or pre-periodic. It was shown in 2014 by M. Astorg, X. Buff, R. Dujardin, H. Peters and J. Raissy that wandering domain can exist for polynomial maps in C^2. Their examples are parabolic skew products. In this talk, I will discuss joint work with Han Peters, where we investigate the existence of wandering domains for attracting skew products. (This work is part of my thesis, which I will defend on Friday October 23).
Location: KdVI meeting room, Science Park 105-107, F3.20