報告題目:Filtered Quantization, Skew Calabi-Yau algebras and Poisson algebras
報 告 人:吳泉水教授 複旦大學
報告時間:2020年11月26日 9:00-10:00
報告地點:騰訊會議:331653045
校内聯系人:生雲鶴 shengyh@jlu.edu.cn
報告摘要:
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.
報告人簡介:
吳泉水,複旦大學數學科學學院教授、博導、上海數學中心執行主任,主要從事非交換環論、非交換射影代數幾何、Hopf代數的同調理論方面的研究。曾獲教育部科技進步二等獎、教育部霍英東教育基金會青年教師獎、教育部高校“青年教師獎”、寶鋼優秀教師獎、上海市優秀學術帶頭人、上海市優秀青年教師等,在Duke Math. J.、Trans. Amer. Math. Soc.、Israel J. Math.、J. Noncommut. Geom.、J. Algebra、J. Pure Appl. Algebra等國際著名期刊發表SCI論文50餘篇,多次主持國家自然科學基金面上項目,并擔任SCI雜志Comm. Algebra編委。