Speaker. Zhiyuan Zhang
Date. 20.06.2023 at 3:30 pm
Abstract. In a work in progress with Artur Avila and Mikhail Lyubich, we show that there are maps in the complex Hénon family with a stable homoclinic tangency. Moreover, we show that any analytic unfolding of a quadratic homoclinic tangency of a dissipative saddle periodic point of a holomorphic map in \mathbb{C}^2 possesses a parameter with a stable homoclinic tangency. We will explain a new mechanism for the stable intersections between two dynamical Cantor sets generated by two classes of conformal IFSs on the complex plane.