时 间:2025年6月26日 14:30-15:30
地 点:数学楼129
主讲人:王伟强 教授(美国弗吉尼亚大学)
主持人:罗 栗 教授
讲座内容简介:
iQuantum groups arising from quantum symmetric pairs can be viewed as a generalization of Drinfeld-Jimbo quantum groups. Braid group symmetries for quantum groups and their modules formulated by Lusztig have played an important role in understanding structures of quantum groups and applications to categorification. In the setting of quasi-split iquantum groups, we shall construct the relative braid group symmetries by (1) providing explicit rank one formulas on integrable modules in terms of iDivided powers, and (2) connecting to Lusztig's braid group symmetries via quasi K-matrix. This is joint work with Weinan Zhang (Hong Kong).主讲人简介:
王伟强,美国弗吉尼亚大学数学系Gordon Whyburn教授,美国数学会会士,国际上极具影响力的表示论研究专家。研究成果发表在Invent. Math., Duke Math. J.,Memories AMS, Compos. Math.,Math. Ann., Adv. Math,Comm. Math. Phys. 等著名数学期刊上。曾获2020年度美国数学会Chevalley奖,受邀在2022年ICM上作45分钟邀请报告。此外,王伟强教授还担任Int. Math. Res. Not., Lett. Math. Phys. 等多个国际重要数学期刊的编委。