Abstract. In this talk, I shall talk about structure of the set of solutions of nonlinear Schrodinger systems, which come from nonlinear optics and Bose-Einstein condensates. It turns out that the structure of solutions of such systems is much more complex than the structure of solutions of single equations. In studying this kind of systems, many new methods have been initiated and developed.

Bio. 刘兆理，首都师范大学数学科学学院教授，博士生导师，北京市特聘教授。从事非线性分析研究，在变分方法和椭圆型偏微分方程方面做出了多项研究成果。曾先后四次获得省部级自然科学奖和科技进步奖，曾获得国家杰出青年科学基金，曾获得首都劳动奖章。