题目：Hall algebra of Jordan quiver and Hall-Littlewood functions

报告人：卢明 副教授 （四川大学）

时间：12月4日14:30-16:00

腾讯会议：915 983 115

个人简介：卢明，四川大学副教授，2003年-2013年在四川大学学习，先后获得学士、硕士、博士学位，曾访问过德国比勒菲尔德大学、美国弗吉尼亚大学、德国斯图加特大学。研究兴趣为表示论及其与代数几何，李理论和组合数学的交叉研究。2018年，与弗吉尼亚大学王伟强教授发起i-量子群的Hall代数实现和几何实现的研究，并取得突破性进展。目前已在Proc. London Math. Soc., Adv. Math., Comm. Math. Phys.等数学杂志上发表20余篇论文。

报告摘要：A quantum symmetric pair consists of a quantum group and its coideal subalgebra (called an quantum group). A quantum group can be viewed as an example of quantum groups associated to symmetric pairs of diagonal type. Prof. Weiqiang Wang and the speaker initiated a long-term program “Hall algebras and quantum symmetric pairs” in 2018. The aim of this work is to developing the Hall algebra of Jordan quiver and connections to Hall-Littlewood functions (can be viewed as the universal characters of type C), adding a new chapter to the classic constructions of Steinitz, Hall, and Macdonald. It is also applied for the geometric realization of Drinfeld type presentation of affine quantum groups. This is joint work with Shiquan Ruan and Weiqiang Wang.