报告题目：Affine flag variety of type D and quantum symmetric pair

报告人：樊赵兵 教授 哈尔滨工程大学

邀请人：杨丹丹

报告时间：2025年4月25日（周五）15：30

报告地点：行政辅楼119会议室

报告人简介： 樊赵兵，哈尔滨工程大学教授，博士生导师。国家级人才。研究方向：几何表示论、量子群、Hall代数、Schur-Weyl对偶、Character Sheaves。在Memoris of AMS，Comm. Math. Physics，Transection of AMS，IMRN等国际知名杂志发表学术论文多篇。主持国家自然科学基金面上项目、黑龙江省杰青等项目多项。

报告摘要：In this talk, I'll introduce Schur algebra and its Lusztig subalgebra associated to affine flag variety of type D. We show that the i-quantum group corresponding to subalgebra of the Lusztig algebra forms quantum symmetric pairs together with U_q(\widehat{sl}_n). We further construct monomial and canonical bases of its idempotented version and prove the positivity properties of the canonical basis with respect to multiplication and the bilinear pairing. This is a join work with Quanyong Chen.

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