报告时间：2024年12月19日（星期四）14:15
报告平台：腾讯会议 980-100-138
报 告 人：孙丛丛 博士
工作单位：南开大学
举办单位：数学学院
报告简介：
Schubert polynomials were introduced by Alain Lascoux and Marcel-Paul Schützenberger in 1982, which is a landmark result in the field of algebraic combinatorics. Schubert polynomials are fundamental structures in Schubert's Enumerative Calculus and have deep connections to algebraic geometry, representation theory, symmetric functions, etc. In this talk, we mainly present two problems concerning Schubert polynomials. First, we construct a bijection between reduced word tableaux and EG-pipedreams, which solves an open problem proposed by Thomas Lam, Seung Lee and Mark Shimozono. Then we provide an affirmative answer to a conjecture raised by Mészáros, St. Dizier and Tanjaya, which is related to the upper bounds of dual flagged Weyl characters.
报告人简介：
孙丛丛，天津财经大学，2019年于南开大学组合数学中心获博士学位；毕业后主持国家自然科学基金青年基金项目。主要从事代数组合学方面的研究，在 Schubert 计数演算、对称函数、组合双射方面取得多项重要成果。在《Adv. Appl. Math.》、《SIAM Discrete Math.》等数学期刊发表多篇论文。