Jie Wang, Associate Professor, Academy of Mathematics and Systems Science, Chinese Academy of Sciences

Junjie Ma, Associate Professor

Optimization with polynomials in diverse forms

16:00-17:00 May 9 (Thursday) , Lecture hall on the first floor of Siyuan Building

Optimization with polynomials is ubiquitous in both pure and applied mathematics. In this talk, I will give an overview on optimization problems with polynomials in diverse forms: commutative polynomial optimization, sum-of-rational-function optimization, complex polynomial optimization, matrix polynomial optimization, noncommutative polynomial optimization. Particularly, I will show how to tackcle those difficult problems with powerful mathematical tools from measure theory, real algebraic geomatry, operator algebra, and functional analysis.

报告人简介：王杰，中国科学院数学与系统科学研究院副研究员。2017年博士毕业于中科院数学院，2017-2019年在北京大学从事博士后研究，2019-2021年在法国国家科学中心和Lasserre教授合作从事大规模多项式优化的研究。入选中科院数学院“陈景润未来之星计划“、中国运筹学会青年人才发展专项等。在SIAM J. Opt., SIAM J. Appl. Alg. G., Math. Program., ACM T. Math. Soft.等期刊发表论文近30篇，在World Scientific Press出版专著《Sparse Polynomial Optimization: Theory and Practice》。研究兴趣包括：多项式优化，半定规划，实代数几何，符号计算及其在运筹控制、计算机视觉、神经网络、量子信息等领域的应用。