报告题目1：SVV's trace forms and Schur elements of cyclotomic Hecke algebras
报告人：胡峻教授，北京理工大学
报告时间：2025年5月15日（周四）15:30
报告地点：20-200
报告摘要：Cyclotomic KLR algebras are a family of remarkable finite dimensional $Z$-graded algebras which have found many important applications in representation theory and categorification of quantum groups. In the case of type A, it can be identified with the cyclotomic Hecke algebras $H_{r,n}$ of type $G(r,1,n)$. Mathas and I have constructed homogeneous cellular bases for these algebras. Recently Evseev and Mathas generalized these cellular bases to any cyclotomic KLR algebras which have content systems (e.g., affine type A and affine type C). In this talk I will report a joint work with Huansheng Li which computed SVV's trace forms on these algebras, and a joint work with Huansheng Li and Shuo Li which derived some new formulae for the Schur elements of $H_{r,n}$.
报告人简介：胡峻，北京理工大学数学与统计学院教授，代数李理论与分析教育部重点实验室及信息安全的数学理论与计算工信部重点实验室主任，北京理工大学理材学部主任。主要从事李代数、量子群及Hecke代数等理论的研究，在典型群与Brauer代数之间的Schur-Weyl对偶、分圆KLR代数的Z-分次表示以及G(r,p,n)型分圆Hecke代数的模表示等方面取得了一系列成果，解决了包括Lusztig、Stroppel、Brundan、Kleshchev等人提出的一些猜想与公开问题，2021年获得教育部高等学校科学研究优秀成果自然科学奖一等奖(唯一完成人)，2025年主持国家自然科学基金重点项目。
报告题目2：Degreewise model structures on the category of module factorizations
报告人：狄振兴教授，华侨大学
报告时间：2025年5月15日（周四）15:30
报告地点：20-200
报告摘要：For a regular normal element ω in an arbitrary ring A, we study the model structures related to the category of module factorizations F(A; ω). We show that the homotopy category of the category of module factorization has a Strøm model structure, meaning the weak equivalences are the homotopy equivalences. We construct two abelian model structures on F(A; ω) from any abelian model structures on A-Mod. In particular, we show that the zeroth cokernel functor induces a Qullien equivalence between model structures related to the category of module factorizations. Some applications are given in Gorenstein homological algebra. This talk is based on joint works with Liping Li, Li Liang and Rongmin Zhu.
报告人简介：狄振兴，华侨大学数学科学学院教授、博士生导师，福建省闽江学者特聘教授、入选福建省第九批创新创业人才（省引才百人计划）。主要从事模型范畴理论、相对同调理论与代数表示论等领域相关研究工作。迄今，在《Transactions of the American Mathematical Society》《Proceedings of the Royal Society of Edinburgh. Section A. Mathematics》《Journal of Algebra》《Journal of Pure and Applied Algebra》等国际著名SCI刊物发表论文30余篇。2016年工作至今，主持国家自然科学基金青年基金项目1项、面上项目2项。
邀请人：魏加群