报告题目：Filtered Quantization, Skew Calabi-Yau algebras and Poisson algebras
摘要：Suppose that A is a filtered algebra such that the associated graded algebra gr(A) is commutative Calabi-Yau. Then gr(A) has a canonical Poisson structure with a modular derivation and A is skew Calabi-Yau. We describe the relation between the Nakayama automorphism of A and the modular derivation of gr(A) by using homological determinants. As an application, we prove that the rings of differential operators over smooth affine algebraic varieties are Calabi-Yau. This talk is based on a joint work with Ruipeng Zhu.