报告人：肖冬梅教授，上海交通大学

报告时间： 2020.11.11（星期三）下午：16：00-17：00

报告地点：腾讯会议，会议 ID：558 603 931 （15:30：00-17：30）

报告摘要：In this talk, we will introduce some new methods to estimate the lowest upper bound of the number of isolated zeros of Abelian integrals, which is called the weakened 16th Hilbert problem proposed by V. I. Arnold. Some algebraic criteria are obtained for the number of isolated zeros of Abelian integrals along energy level ovals of potential systems. As applications of our main results, we study three kinds of Abelian integrals along algebraic or non-algebraic level ovals, obtain the algebraic criteria on the Abelian integrals having Chebyshev property with accuracy one, simplify some known proof on the cyclicity of quadratic reversible centers, and give all the configurations of limit cycles from Poincare bifurcation of two quadratic reversible systems with two centers, one of which has a non-algebraic first integral with logarithmic function. This talk is based on the joint works with Changjian Liu.

报告人简介：肖冬梅，上海交通大学教授、博士生导师，国家杰出青年基金获得者。主要从事微分方程与动力系统定性理论和分支理论，以及生物数学等领域的研究。在国际SCI类数学学术期刊上发表学术论文90余篇。肖冬梅教授曾获得教育部自然科学一等奖、上海市自然科学二等奖，2004年入选教育部“新世纪优秀人才”计划，2009年获“国家杰出青年科学基金”，2010年入选上海市优秀学科带头人计划。现兼任中国数学会副理事长、上海市非线性科学研究会副理事长、上海市数学会常务理事。

邀请人：曹永罗