线上学术报告

Title: Hall algebras of generalized complexes and i-quantum affine groups

Speaker: 卢明副教授（四川大学）

Abstract

A quantum symmetric pair consists of a quantum group and its coideal subalgebra (called an i-quantum group). A quantum group can be viewed as an example of i-quantum groups associated to symmetric pairs of diagonal type.

In this talk, we present a geometric construction of i-quantum affine groups. In the procedure, a new kind of complexes, called generalized complexes, is introduced, and their derived categories and singularity categories are described. Using the semi-derived Ringel-Hall algbras of generalized complexes over weighted projective lines, we realize the Drinfeld type presentation of affine i-quantum groups. This is joint work with Shiquan Ruan.

报告人简介：卢明，四川大学副教授，研究兴趣为代数表示论与李理论。目前主要从事量子群和i-量子群的Hall代数实现和几何实现的研究，在Proc. London Math. Soc, Adv. Math, Comm. Math.Phys.等数学杂志上发表20余篇论文。

北京时间：2022年4月28日（周四）上午9:00-10:00

线上参加：#腾讯会议 743-8436-8352

会议密码:  202204

入会链接:  https://meeting.tencent.com/dm/pJjMhTmEx8zL

联系人: 惠昌常 陈红星

欢迎各位老师和同学们参加！