國立清華大學 數學系

Abstract:
The fundamental problem of deformation quantization is to find a star product for a given Poisson structure on a manifold. Among various methods, Kontsevich's application of the formality theorem solves the problem for general Poisson manifolds, which has an explicit formula on Euclidean spaces with a graphic representation. Though, the graphs become complicated in order-3 terms or higher. Buring and Kiselev hence classified the graphs to simplify the computation. In this talk I will present Kontsevich’s formula on Euclidean spaces and introduce the method, in which Buring and Kiselev generate and operate on weighted graphs to construct different star products.
 

參考連結：https://sites.google.com/view/sgsnthu/home