南方科學技術大學李勤教授學術報告

2019-06-05 來源:數學科學研究中心

活動地點:CMS 202

活動類型:學術報告

主講人:李勤教授

活動時間:2019-06-06 13:00:00--2019-06-06 14:00:00

活動內容:

南方科學技術大學李勤教授學術報告


時間:2019年6月6日下午1點

地點:數學中心202

題目: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.


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