# Kahler-Einstein metrics and algebraic geometry

## TL;DR

This survey reviews the interplay between Kahler-Einstein metrics and algebraic geometry, summarizing recent developments and open problems discussed in the author's lectures.

## Contribution

It provides a comprehensive overview of the current state of research connecting Kahler-Einstein metrics with algebraic geometry, highlighting key advances and future directions.

## Key findings

- Summarizes recent progress in Kahler-Einstein metrics
- Highlights open problems in algebraic geometry related to these metrics
- Provides a structured overview of the field's development

## Abstract

This is a survey article, based on the author's lectures in the 2015 Current developments in Mathematics meeting; published in "Current developments in Mathematics". Version 2, references corrected and added.