Report title: Filtered Quantization, Skew Calabi-Yau algebras and Poisson algebras

Reporter: Professor Wu Quanshui Fudan University

Reporting time: November 26, 2020 9:00-10:00

Report location: Tencent Meeting: 331653045

School contact: Sheng Yunhe shengyh@jlu.edu.cn

Report summary:

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.

Brief introduction of the speaker:

Wu Quanshui is a professor at the School of Mathematical Sciences of Fudan University, a PhD supervisor, and executive director of the Shanghai Center for Mathematics. He is mainly engaged in the research of non-commutative ring theory, non-commutative projective algebraic geometry, and homology theory of Hopf algebra. He has won the second prize of Science and Technology Progress Award of the Ministry of Education, the Young Teacher Award of the Huo Yingdong Education Foundation of the Ministry of Education, the “Young Teacher Award” of the Ministry of Education, the Baosteel Outstanding Teacher Award, Shanghai Outstanding Academic Leader, Outstanding Young Teacher in Shanghai, etc., in Duke Math. J., Trans. Amer. Math. Soc., Israel J. Math., J. Noncommut. Geom., J. Algebra, J. Pure Appl. Algebra and other internationally renowned journals have published more than 50 SCI papers, many times Presided over the general project of the National Natural Science Foundation of China and served as an editorial board member of the SCI magazine Comm. Algebra.