##### Department of Mathematics,

University of California San Diego

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### Food for Thought

## Soumya Ganguly

#### UCSD

## Locally algebraic Bergman kernels on two dimensional Stein spaces with finite type boundaries.

##### Abstract:

On a two dimensional Stein space with isolated, normal singularities, finite type boundary and locally algebraic Bergman kernel, we find an estimate of the local algebraic degree of the Bergman kernel in terms of the type of the boundary. As an application, we characterize two dimensional ball quotients as finite type Stein spaces with a rational Bergman kernel.

### December 4, 2023

### 1:00 PM

HSS 4025

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