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Filtered Quantization, Skew Calabi-Yau algebras and Poisson algebras

报告题目:Filtered Quantization, Skew Calabi-Yau algebras and Poisson algebras

邀请人:王艳华

报告人:吴泉水教授复旦大学

时间:2019年1110日(周日) 10:00-10:50

地点:红瓦楼726

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.

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