报告时间:10月29日周三下午16:00-17:00
报告地点:数学楼401报告厅
报告人:Marc Rosso
主持人:胡乃红
报告人简介:
Marc Rosso,巴黎西岱大学Université Paris Cite, Institut Mathématiques de Jussieu-PRG特级教授。主要研究领域为量子群表示论等,相关研究成果发表在Invent. Math.,Duke Math. J.,J. Reine Angew. Math.,Adv. Math.,Comm. Math. Phys.等期刊。曾任巴黎高等师范学院(ENS)数学与应用系主任,法国布尔巴基学派年度Seminar主席(1995--2007)。曾任华东师范大学高端外国专家,共同筹建《中法基础数学联合实验室》,现担任中法数学英才班教育委员会执行主任。
报告摘要:
We shall review the classification of graded Hopf algebra structures on path coalgebras (and dually quantization of path algebras) in connection with the framework of Hopf algebra constructions on a Hopf bimodule over a Hopf algebra. We conclude a path coalgebra admits a graded Hopf algebra structure iff its quiver is a Hopf quiver. We will also elaborate on how Hopf bimodules support this classification: the category of Hopf bimodules over a group algebra is equivalent to a product of right module categories, which ensures the completeness of our classification and links quiver combinatorics to Hopf algebra constructions.