报告时间：10月13日下午15：00-16：00

报告地点：雁山图书馆第二会议室205

报告题目：Results and openproblems on the algebraic limit cycles of the planar polynomial differentialsystems

报告摘要：In this talk we summarize someresults and open problems on the algebraic limit cycles of the planarpolynomial differential systems. More precisely, (i) we study the maximumnumber of algebraic limit cycles of the polynomial differential differentialsystems of degree n; (ii) we show how to use the algebraic limit cycles forproving that any finite configuration of limit cycles can be realized by somepolynomial differential system; (iii) we provide the maximum number ofalgebraic limit cycles formed by circles that a polynomial differential systemof degree n can exhibit; (iv) we study the algebraic limit cycles of the polynomialdifferential systems of degree 2.

报告人简介：Jaume Llibre，西班牙巴塞罗那自治大学教授，西班牙皇家科学院院士，2009年获西班牙ICREA  Academia奖。研究方向为常微分方程与动力系统。主要结果发表在：Memory of AmericanMathematical Society，Communications onPure and Applied Mathematics，Mathematische Annalen，Advances in Mathematics，Transactions of American Mathematical Society等世界一流数学期刊上。