报告时间：4月11日下午14：00-15：00
报告地点：数理学院105
报告人：张高飞
题目：Polynomial Curve Systems Are Exponentially Decaying
摘要：The finite global attractor problem for polynomial case was recently solved by using tree lifting algorithm. Since the global contraction rate of the simplicial map of the tree complex is in general unclear, it is not known how fast the pull backs of a curve converge to the attractors. In the work we will introduce the ideas of quick returns and barrier lakes to analyze the combinatorial models of curves. These allow us to prove that the complexity of a curve is exponentially decreased under the pull backs by the iteration of a polynomial.
报告人简介：
张高飞 ，南京大学数学学院教授，博士生导师，国家杰出青年基金获得者。研究方向为复动力系统，在Invent. Math., Adv. Math.等国际著名数学杂志发表学术论文多篇。
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