Quantizable Functions and Holomorphic Differential Operators
Time: 2022-06-24
Published By: Wenqiong Li
Speaker(s): Qin Li (SUSTech)
Time: 14:00-15:00 June 28, 2022
Venue: Online
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
