标题：Symmetrizing forms and Schur elements for the cyclotomic Hecke and KLR algebras
报告时间：2026年7月14日（星期二）14:00-15:00
报告地点：线上腾讯会议(会议ID: 304612950)
主讲人：胡峻
主办单位：数学与统计学院
报告内容简介：
We use cyclotomic Mackey decomposition to compute the explicit value of the standard symmetrizing form $\rm{Tr}$ of the cyclotomic Hecke algebra on each DJM’s cellular basis element. We also compute the explicit value of $\rm{Tr}$ on each seminormal basis element, which yields new formulae for Schur elements. We use Kang-Kashiwara’s decomposition to compute the explicit value of SVV’s trace form $\rm{Tr}^{SVV}$ on each seminormal basis element, which shows that Evseev-Mathas's graded cellular bases for the cyclotomic KLR algebras with graded content systems are integrally defined. The talk is based some joint work with Huansheng Li and Shuo Li.
主讲人简介：
胡峻，北京理工大学数学与统计学院教授、博导，国家级高层次领军人才，教育部新世纪人才支持计划入选者，德国洪堡学者。主要从事代数群、李代数、量子群、Hecke代数、KLR代数及Schur代数等的结构与表示的研究，在包括Adv. Math.、Proc. Lond. Math. Soc.、Trans. Amer. Math. Soc.、Math. Ann.、J. Reine Angew. Math.等著名期刊发表高水平学术论文80余篇，并主持多项国家自然科学基金。
