# Mathematics Colloquium

#### Kahler-Einstein metrics

**Speaker:**
Gabor Szekelyhidi, Notre Dame

**Location:**
Warren Weaver Hall 1302

**Date:**
Monday, February 12, 2018, 3:45 p.m.

**Synopsis:**

Kahler-Einstein metrics are of fundamental importance in Kahler geometry, with connections to algebraic geometry, geometric

analysis, string theory amongst other fields. Their study has received a great deal of attention recently, culminating in the solution of the

Yau-Tian-Donaldson conjecture, characterizing which complex manifolds admit Kahler-Einstein metrics. I will give an overview of this conjecture, and describe some more recent developments.

analysis, string theory amongst other fields. Their study has received a great deal of attention recently, culminating in the solution of the

Yau-Tian-Donaldson conjecture, characterizing which complex manifolds admit Kahler-Einstein metrics. I will give an overview of this conjecture, and describe some more recent developments.