学术报告

报告题目： PBW deformations of Koszul algebras over a non-sem i simple ring

报告人： 张印火教授 （比利时哈撒尔特大学）

报告时间：9月15日下午3:00-4:00

报告地点：数统院307

红世一足666814  

                               2019.9.12

报告摘要： In this talk, we discuss the Nakayama automorphism of a PBW-deformation of a Koszul Artin-Schelter Gorenstein algebra of finite global dimension. A criterion for an augmented PBW-deformation of Koszul Calabi-Yau algebra to be still Calabi-Yau will be given. The relations of the Calabi-Yau property of augmented PBW-deformations and that of non-augmented cases are discussed. The Nakayama automorphisms of PBW-deformations of Koszul Artin-Schelter Gorenstein algebras of global dimensions 2 and 3 are given explicitly. It is proved that if a PBW-deformation of a graded Calabi-Yau algebra is still Calabi-Yau, then it is defined by a potential under some mild conditions. Some classical results are also recovered.

报告人简介： 张印火，比利时哈撒尔特(Hasselt )大学教授。复旦大学博士生，比利时安特卫普Antwerp大学博士。曾在南太平洋大学工作，新西兰维多利亚大学高级讲师终身职位。研究领域为Hopf代数及其相关代数理论。主要研究Hopf Galois理论，量子群表示，Brauer 群理论，张量范畴及其表示环理论等。在各类国际数学杂志发表论文近80篇。