讲座人简介:
樊赵兵,哈尔滨工程大学教授,博士生导师,数学科学学院院长,国家级人才入选者,研究方向为几何表示论、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2项、黑龙江省杰出青年基金等项目。
讲座简介:
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 joint work with Quanyong Chen.