数学与统计学院学术报告[2020] 067号

(高水平大学建设系列报告420号)

报告题目: Core entropy and invariant graph for rational dynamics

报告人：高延　教授（四川大学太阳集团官网）

报告时间：2020年10月13日15：00-16：00

报告地点：汇星楼514

报告内容：

In 1970's, Milnor and Thurston established the classical topological entropy theory for real polynomials. In about 2007, to give a quantitive description of the parameter space of degree-d polynomials, Thurston defined the core entropy for complex polynomials, and generalize the classical topological entropy theory to quadratic complex polynomials with  collaboration of some other mathematicians. Following Thurston's perspective, we generalize part of the core entropy theory from the quadratic case to higher degree case. We also consider the core entropy for rational maps. This motive us to construct invariant graphs for postcritically finite rational maps.

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数学与统计学院

2020年10月11日