2022年第4期第31讲：杨立波教授学术报告

广州数学大讲坛第四期

第三十一讲——南开大学杨立波教授学术报告

题目：Character immanants and Schur positivity

时间：2022年6月20日（周一）下午15：00-16：00

地点：腾讯会议（会议ID：239 864 690)

报告人：杨立波教授

摘要：Goulden and Jackson conjectured, and later Greene proved, that immanants of Jacobi-Trudi matrices are polynomials with nonnegative integer coefficients. Based on Greene's approach to Goulden and Jackson's conjecture, we further study the positivity of immanants of Giambelli-type matrices which were introduced by Hamel and Goulden, as well as the positivity of immanants of square submatrices of the Catalan-Stieltjes matrices and their associated Hankel matrices. In this talk, we will give an overview of related results and open problems.

报告人简介：

杨立波，南开大学教授，博士生导师。现任南开大学组合数学中心副主任。主要从事对称函数理论和单峰型理论方面的研究，现已在《Trans. Amer. Math. Soc.》、《Intern. Math. Res. Notices》、《J. Combinatorial Theory, Series A》、《Adv. Appl. Math.》、《SIAM Discrete Math.》等数学期刊发表30余篇论文，并获得多项国家自然科学基金项目资助。