报告题目:Filtered Quantization, Skew Calabi-Yau algebras and Poisson algebras
报 告 人:吴泉水教授 复旦大学
报告时间:2020年11月26日 9:00-10:00
报告地点:腾讯会议:331653045
校内联系人:生云鹤 shengyh@jlu.edu.cn
报告摘要:
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,复旦大学数学科学学院教授、博导、上海数学中心执行主任,主要从事非交换环论、非交换射影代数几何、Hopf代数的同调理论方面的研究。曾获教育部科技进步二等奖、教育部霍英东教育基金会青年教师奖、教育部高校“青年教师奖”、宝钢优秀教师奖、上海市优秀学术带头人、上海市优秀青年教师等,在Duke Math. J.、Trans. Amer. Math. Soc.、Israel J. Math.、J. Noncommut. Geom.、J. Algebra、J. Pure Appl. Algebra等国际著名期刊发表SCI论文50余篇,多次主持国家自然科学基金面上项目,并担任SCI杂志Comm. Algebra编委。