Kontsevich formality theorem and applications to Lie theory and complex geometry Ⅲ
主 题: Kontsevich formality theorem and applications to Lie theory and complex geometry Ⅲ
报告人: Professor Ping Xu (Penn State University)
时 间: 2013-12-23 9:30-11:30
地 点: Room 29 at Quan Zhai, BICMR（数学中心活动）
In 1997, Kontsevich proved his famous formality theorem, which implies the existence of deformation quantization for a general Poisson manifold. However, Kontsevich formality theorem has many deep applications beyond Poisson geometry. One example is an alternative proof of the Duflo theorem in Lie theory. Another is in complex geometry. For a complex manifold $X$, Kontsevich described the relation between the Gerstenhaber algebra structure on $H^*(X, \wedge^* T_X)$ and the one on the Hochschild cohomology group $HH^*(X)$. In these lectures, I will give an overview of Kontsevich formality theorem.