报告人：付强
报告地点：腾讯会议ID: 779=192-020
报告时间：2026年07月08日星期三 9:25-10:10
邀请人：陈良云、刘岩
报告摘要：
This report summarizes the Beilinson--Lusztig--MacPherson (BLM) theory and its generalizations. BLM gave a geometric construction of quantum $\mathfrak{gl}_n$ via $q$-Schur algebras, and simultaneously constructed the canonical bases for the modified quantum group $\dot{U}_v(\mathfrak{gl}_n)$ within this geometric framework. This approach also yields the integral quantum Schur--Weyl duality. Subsequently, the theory was extended to affine quantum $\mathfrak{gl}_n$ as well as to super and $i$-quantum group analogues.
主讲人简介：
付强，同济大学数学科学学院教授、博士生导师、国家优秀青年基金获得者、教育部新世纪人才计划，主要从事代数群与量子群相关理论的研究，在Adv. Math.、Trans. Amer. Math. Soc.、Math. Z.、Int. Math. Res. Not. IMRN、J. Algebra等杂志成果发表，先后主持国家基金委面上项目4项，并担任SCI期刊Commun. Algebra编委。
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