南方科学技术大学李勤教授学术报告

2019-06-05 来源:数学科学研究中心

活动地点:CMS 202

活动类型:学术报告

主讲人:李勤教授

活动时间:2019-06-06 13:00:00--2019-06-06 14:00:00

活动内容:

南方科学技术大学李勤教授学术报告


时间:2019年6月6日下午1点

地点:数学中心202

题目:Toeplitz quantization, Fedosov quantization and Feynman graphs

摘要:Toeplitz operators on K\"ahler manifolds are defined as the composition of multiplication by smooth functions and orthogonal projection to holomorphic sections of (tensor powers) of prequantum line bundles. In particular, the asymptotic behavior of these operators gives rise to deformation quantization on K\"ahler manifolds. In this talk, I will describe a localized version of Toeplitz operators using the technique of Feynman graph computations, and give an explicit equivalence between Toeplitz quantization and Fedosov quantization.