Quantizable Functions and Holomorphic Differential Operators
发布时间：2022年06月24日
浏览次数：3808
发布者: Wenqiong Li
主讲人： Qin Li (SUSTech)
活动时间： 从 2022-06-28 14:00 到 15:00
场地： 线上
Toeplitz operators on Kahler manifolds associate smooth functions to operators on Hilbert spaces $H^0(X,L^k)$. However, there composition only gives a formal deformation quantization by considering the asymptotic as $k\rightarrow\infty$. In this talk, I will describe a method of Fedosov to quantize a subclass of smooth functions to holomorphic differential operators on these Hilbert spaces. This gives a strong which version of quantization since it gives rise to a non-formal deformation of the classical commutative multiplication.
TencentMeeting: 129-155-674
