Report Title：Reflection theory for (quasi-)Hopf algebras

Reporter：Gongxiang Liu

Affiliation:Nanjing University

Report Time:April 9, 2026, 10:00-11:00

Report Location:Zoom Id: 904 645 6677，Password: 2026

Meeting:

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Abstract: 

Reflection theory for Hopf algebras is a fundamental tool for classification of pointed Hopf algebras. Through reflection theory, one can define the corresponding Weyl groupoid and root system theory for Nichols algebras. We will explain this theory in this talk at first. For a long time, we don’t know how to generalize such tool to (co)quasi-Hopf algebras. Secondly, we show that we have such a theory for (co)quasi-Hopf algebras with bijective antipode briefly. This is a joint work with Dr. Bowen Li.

Bio: 

Liu Gongxiang is a Professor and PhD Supervisor at the School of Mathematical Sciences, Nanjing University, and serves as Secretary of the Party Committee of the School of Mathematical Sciences, Nanjing University. He has long been engaged in research in algebra and has published numerous academic papers in prominent international SCI journals, including *Journal für die reine und angewandte Mathematik*, *Transactions of the American Mathematical Society*, *Advances in Mathematics*, *Communications in Mathematical Physics*, and *Israel Journal of Mathematics*. He has been invited to deliver plenary lectures at many academic conferences at home and abroad. His honors include the Young Teacher Award of the Fok Ying Tung Education Foundation for Chinese Universities and the Jiangsu Mathematics Outstanding Achievement Award. In 2017, he was awarded funding by the National Natural Science Foundation of China for Excellent Young Scholars.