Speaker: Igors Gorbovickis (Constructor University)
Title: Independence of multipliers in several variables complex dynamics
Abstract: We establish results on independence of multipliers for polynomial endomorphisms of $\mathbb C^n$ and endomorphisms of $\mathb P^n$. As an important step in the proof, we show irreducibility of the spaces of endomorphisms with $N$ marked periodic points. The latter statement is of independent interest. Combining our results with the general machinery, developed by T. Gauthier, J. Taflin and G. Vigny, we conclude new results about sparsity of postcritically finite polynomial endomorphisms of $\mathbb C^n$ for $n \ge 3$. This is joint work with J. Taflin.