Bergman kernel and quantization of Kahler manifolds

Abstract: Similar to the asymptotic expansion of heat kernel, the asymptotic expansion of Bergman kernel on Kahler manifolds have important geometric applications. We will talk about some interesting physical interpretation of this expansion (e.g., quantum Hall effect) and review recent works on its relations to deformation quantization.

Mathematics

Audience: researchers in the topic

ICCM 2020