报告题目：Progress on integrability of differential systems and its application

报告摘要：In this talk we report the progress on both algebraic integrability and local integrability of differential systems, and also their applications. On algegraic integrability we emphasis on Darboux theory of integrability and its relation with Liouvillian integrability. On local integrability, we concern the necessary and sufficient conditons of differential system in a neighborhood of a singular point.

报告时间：11月23日(周四)下午2:00-3:00

报告地点：数学科学学院三楼报告厅304

张祥教授简介：上海交通大学特聘教授，博士生导师，教育部新世纪优秀人才和上海市曙光人才。担任中国数学会奇异摄动专业委员会常务副理事长，以及Qualitative Theory of Dynamical Systems和International J. Bifurcation and Chaos等杂志的Associate编委。主要从事常微分方程的定性和分支理论，动力系统可积的代数、几何与拓扑，以及微分同胚嵌入流的存在性等方面的研究。主持多项国家自然科学基金, 主要结果发表在American J. Mathematics, Transactions of Amer. Math. Soc., Communications in Math. Physics, J. Functional Analysis, Physica D, J. Nonlinear Science, J. Differential Equations和Ergodic Theoery and Dynamical Systems等国际核心期刊上，成果分别获得教育部自然科学一等奖和上海市自然科学二等奖。近五年多次应邀在德国、西班牙和加拿大召开的动力系统国际学术会议上做大会特邀报告。