*主持人：周国栋 教授

*讲座内容简介：

For an integrable distribution $F$ in a smooth manifold $M$, we study the Hochschild cohomology of the dg manifold $(F[1],d_F)$ and establish a canonical isomorphism with the Hochschild cohomology of the transversal polydifferential operators of $F$. In particular, we prove that the Hochschild cohomology of the dg manifold associated with a complex manifold $X$ is canonically isomorphic to the Hochschild cohomology $HH^\bullet (X)$ of $X$. As an application, we show that the Kontsevich-Duflo type theorem for the aforementioned dg manifold implies the Kontsevich-Duflo theorem for complex manifolds. This is a joint work with Z.Chen and P.Xu.

*主讲人简介：

向茂松，华中科技大学数学中心讲师。主要研究方向是微分几何和物理，特别是相关的高阶同伦代数结构；2009年毕业于电子科技大学数学学院，2013年在首都师范大学数学学院获硕士学位后，2017年在北京大学北京国际数学研究中心获博士学位；期间曾赴美国宾州州立大学参与博士生联合培养两年。