Title: Higher Rank Bergman Kernels on Compact Riemann Surfaces

 The Bergman kernel is an important tool in the study of Kahler metrics of constant scalar curvature. It describes the relationship between the powers of a given Hermitian metric with positive curvature on a line bundle and the Hermitian metric obtained by using the projective embeddings of the manifold induced by the powers of the line bundle. The Bergman kernel admits an asymptotic expansion as we take higher powers of the line bundle, and there are many proofs of this expansion.

 In this talk, we will discuss the asymptotic expansion of the Bergman kernel of a Hermitian metric with Griffiths-positive curvature on a vector bundle over a Riemann surface as we take higher symmetric powers of the vector bundle. This talk is based on my thesis supervised by Julius Ross. 

강연시간: 10:30-11:45

Zoom Link: 

https://snu-ac-kr.zoom.us/j/86067639930?pwd=wf0MbcupuQd7aLz3MdfKdk8BnSyOBZ.1