Abstract

 The Thurston pullback map induced by a surface homeomorphism is introduced by Thurston in his famous work about classification of surface homeomorphisms. In 1980s, he applied the pullback map induced by a marked branched covering of the sphere to characterize the dynamics of rational maps. Later, there are many works to study the relation of dynamics of ratinal maps and  Thurston pullback maps. In this talk, I will focus on the classification of rational maps with constant Thurston pullback map.  We will present a new class of such maps and give a complete description in case of regular marked polynomials. This is a joint work with Yiran Wang.

个人简介
崔贵珍： 1966年生于山西，1982-1992年在北京大学学习，获得学士，硕士和博士学位。1992-2020年在中国科学院数学与系统科学研究院工作。2020年-现在为深圳大学数学科学学院教授。主要研究复动力系统和Teichmuller 空间理论。曾主持国家自然科学基金重点项目和国家自然科学基金杰出青年项目。