报告题目：Noetherian pointed Hopf algebras are affine

报告人：贾欢，宿迁学院

报告时间：2026年1月16日10:00-11:00

报告地点：瘦西湖校区56号楼617

报告摘要：Let k be a field. In 2003 Q.-S. Wu and J. J. Zhang proposed the classical affineness question for Noetherian Hopf algebras: Is every Noetherian Hopf algebra over k an affine k-algebra？We introduce the notions of reduction order and reduction-factorization on words, and use them to show that any right or left Noetherian pointed Hopf algebra over k is affine. For a pointed Hopf algebra H over k, we construct a well-ordered set X such that: (1) H is generated, as an algebra, by the subset X_I of irreducible letters (with respect to the reduction order); and (2) X_I is finite whenever H is right Noetherian. This is a joint work with Prof. Yinhuo Zhang.

主办单位：扬州大学数学学院

联系人：李立斌，孙华

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