Affine flag variety of type D and quantum symmetric pair

報(bào)告題目：Affine flag variety of type D and quantum symmetric pair

報(bào)告人：樊趙兵 教授 哈爾濱工程大學(xué)

邀請(qǐng)人：楊丹丹

報(bào)告時(shí)間：2025年4月25日（周五）15：30

報(bào)告地點(diǎn)：行政輔樓119會(huì)議室

報(bào)告人簡(jiǎn)介： 樊趙兵，哈爾濱工程大學(xué)教授，博士生導(dǎo)師。國(guó)家級(jí)人才。研究方向：幾何表示論、量子群、Hall代數(shù)、Schur-Weyl對(duì)偶、Character Sheaves。在Memoris of AMS，Comm. Math. Physics，Transection of AMS，IMRN等國(guó)際知名雜志發(fā)表學(xué)術(shù)論文多篇。主持國(guó)家自然科學(xué)基金面上項(xiàng)目、黑龍江省杰青等項(xiàng)目多項(xiàng)。

報(bào)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.

主辦單位：數(shù)學(xué)與統(tǒng)計(jì)學(xué)院