报告时间：2021年4月20日, 10:00-11:00

报告地点：腾讯会议：423 836 791

报告人：樊赵兵教授（哈尔滨工程大学）

报告摘要：We provide a deformation, f_{\alpha, \beta} , of Lusztig algebra f. Various quantum algebras in literature, including half parts of two-parameter quantum algebras, quantum superalgebras, and multi-parameter quantum algebras/superalgebras, are all specializations of f_{\alpha, \beta} . Moreover, f_{\alpha, \beta} is isomorphic to Lusztig algebra f up to a twist. As a consequence, half parts of those quantum algebras are isomorphic to Lusztig algebra f over a big enough ground field up to certain twists. We further construct the entire algebra U _{\beta, \xi} by Drinfeld double construction. As special cases, above quantum algebras all admit a Drinfeld double construction under certain assumptions. This is a joint work with Junjing Xing.

报告人简介：樊赵兵，哈尔滨工程大学理学院教授，博士生导师，国际交流与合作处处长，黑龙江杰出青年基金获得者。2012年于美国堪萨斯州立大学获博士学位，研究方向为几何表示论，主要从事与量子群、Hall代数、quiver表示和CharacterSheaf等相关问题的研究。在Mem. Amer. Math. Soc., Comm. math. phys., Trans. Amer. Math. Soc., Int Math. Res. Not., J. Algebra等国际高水平期刊上发表学术论文近二十篇，主持国家自然科学基金面上项目一项。

欢迎参加！

邀请人：白占强, 董超平