报告题目：Poisson manifolds with semi-simple modular symmetry

报告人：陈小俊教授

报告时间：11月9日下午14:00

摘要：In this talk, we study the “twisted” Poincare duality of smooth Poisson manifolds, and show that, if the modular symmetry is semisimple, that is, the modular vector is diagonalizable, there is a mixed complex associated to the Poisson complex which, combining with the twisted Poincare duality, gives a Batalin-Vilkovisky algebra structure on the Poisson cohomology, and a gravity algebra structure on the negative cyclic Poisson homology. This generalizes the previous results obtained by Xu et al for unimodular Poisson algebras. We also show that these two algebraic structures are preserved under Kontsevich's deformation quantization, and in the case of polynomial algebras they are also preserved by Koszul duality. This talk is based on a joint work with Liu, Yu and Zeng.

报告人简介：陈小俊，四川大学教授，博士生导师。研究方向为非交换代数几何和数学物理，主要研究（导出意义下的）非交换泊松结构和非交换的辛结构，以及它们在Calabi-Yau范畴和代数上的实现。研究论文发表于Adv. Math, Comm Math Phys, Trans AMS和IMRN等知名杂志。