报告人：罗栗
报告地点：腾讯会议ID：602-547-625
报告时间：2021年12月03日星期五14:15-15:00
邀请人：陈良云、马瑶
报告摘要：
We develop a geometric approach toward an interplay between a pair of quantum Schur algebras of arbitrary finite type. Then by Beilinson-Lusztig-MacPherson's stabilization procedure in the setting of partial flag varieties of type A (resp. type B/C), the Howe duality between a pair of quantum general linear groups (resp. a pair of i-quantum groups of type AIII/IV) is established. The Howe duality for quantum general linear groups has been provided via quantum coordinate algebras. We also generalize this algebraic approach to i-quantum groups of type AIII/IV, and prove that the quantum Howe duality derived from partial flag varieties coincides with the one constructed by quantum coordinate (co)algebras. Moreover, the explicit multiplicity-free decompositions for these Howe dualities are obtained. This is joint work with Zheming Xu.
会议ID：602-547-625
会议密码：1203
主讲人简介：
罗栗，华东师范大学数学科学学院副教授，博士毕业于中国科学院数学与系统科学研究院。主要从事量子群、Hecke代数、Schur代数、李超代数的表示论研究，相关工作发表在Mem. Amer. Math. Soc、Int. Math. Res. Not. IMRN、J. Lond. Math. Soc.、Math. Res. Lett.、J. Algebra等著名期刊，主持国家自然科学面上项目、青年项目，以及上海市科委面上项目。
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