iQuantum Groups

：Weiqiang Wang
：2020-10-08 09:00
：Zoom APP（online） 实验楼105（offline）

Speaker：Prof. Weiqiang Wang

        The University of Virginia

Title: iQuantum Groups

Time：8^th, October, 2020, 09:00

Location： 海韵实验楼105(offline)

          Zoom APP(online)

Meeting Info: https://virginia.zoom.us/j/92667279377?pwd=S0M3aUR0NHJoOHFMV0pxRVNmb2s2Zz09

会议 ID: 926 6727 9377

密码: 420441

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Abstract:  

Drinfeld-Jimbo quantum groups have played a central role in representation theory, quantum topology, and math physics. The i-quantum groups arising from quantum symmetric pairs can be regarded as a vast generalization of quantum groups. A few years ago, Huanchen Bao in his thesis showed that the i-quantum groups provided a natural setting for generalizations of Jimbo-Schur duality and Lusztig's canonical basis, which had applications to Kazhdan-Lusztig theory. A new striking development recently is the Hall algebra realization of i-quantum groups developed by Ming Lu and his collaborators, and this has led to application to Drinfeld type realization of affine i-quantum groups. In my talk I will give an introduction to i-quantum groups and survey some of these developments.

Speaker Introduction：

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，国际表示论研究专家。他的系列研究成果发表在《Inv. Math.》, 《Duke Math. J.》等数学重要杂志上，总被引次数过千。由于在量子对称对（i量子群）方面的奠基性工作，王伟强教授与他的学生鲍涣辰在2020年获得由美国数学会颁发的李理论Chevalley奖。

联系人：阮诗佺