Title: Quadratic polynomials and big mapping classes

Speaker: BAIK, JUHUN (KAIST)

Abstract: The Cantor set arises naturally in various dynamical systems. In particular, the iteration of a complex polynomial yields an invariant set (called Julia set), which is often homeomorphic to a Cantor set. In this talk, I will focus on the iteration of quadratic polynomials and how the Julia set changes when the parameter varies. The behavior of the Julia set produce a mapping class of a plane-Cantor set as a result. I will also discuss how to construct the mapping class of the plane - Cantor set which reflects the polynomial dynamics. This is a joint work with Prof. Hyungryul Baik.

Zoom 회의 참가 
https://us06web.zoom.us/j/83738226775?pwd=743lmLhDbOlog3swLxhtSgcYpdpVl1.1 

회의 ID: 837 3822 6775 
암호: set2025