题目：Filtered deformation, Skew Calabi-Yau algebras and Poisson algebras

报告人：吴泉水 教授 （复旦大学）

报告时间：2021年11月19日9：30-10：20

腾讯会议：524 229 796

摘要：If A is a filtered algebra such that the associated graded algebra gr(A) is commutative Calabi-Yau, then A is in general skew Calabi-Yau. In this case, gr(A) has a canonical Poisson structure with a modular derivation. We describe the connection between the Nakayama automorphism of A and the modular derivation of gr(A) by using homological determinants. I will start from the definitions of (skew) Calabi-Yau algebras and homological determinants of (Hopf) actions on them. Some applications will also be given in the talk. This talk is based on a joint work with Ruipeng Zhu.

报告人简介：

吴泉水，复旦大学金沙集团wwW3354CC教授、博士生导师、上海数学中心执行主任。1987获复旦大学博士学位。主要从事非交换代数/几何的研究。在国内外学术刊物,包括Duke Math. J. Trans. AMS和J. Nocomm. Geometry等, 发表学术论文50余篇，曾解决所在领域的几个公开问题和猜想。曾获上海市优秀学术带头人称号，宝钢优秀教师奖、教育部全国高校青年教师奖、国家教委霍英东教育基金会青年教师奖。担任教育部高等学校数学类专业教学指导委员会副主任委员；国家教材委员会数学专家委员会委员。国家教委科技进步二等奖。担任学术期刊《Communications in Algebra》、《ERA》等杂志编委。