## Kähler Geometry, Einstein Metrics, and Generalizations

**Date:**
21 - 25 March 2016

**Location: ** MSRI

**Event type:**
Workshop

**Organisers: ** Olivier Biquard (ENS), Simon Donaldson (Imperial and Simons Center, Stony Brook), Gang Tian (Princeton), Jeff Viaclovsky (Wisconsin)

**Website:**www.msri.org/workshops/704

The workshop will integrate elements from complex differential geometry with Einstein metrics and their generalizaitons. Topics will include:

- Existence of Kähler metrics and extremal Kähler metrics. Notions of stability in algebraic geometry such as Chow stability, K-stability, b-stability, and polytope stability. Kähler-Einstein metrics with conical singularities along a divisor.
- Calabi-Yau metrics and collapsed limit spaces. Connections with physics and mirror symmetry.
- Einstein metrics and their moduli spaces, ε-regularity, noncompact examples such as ALE, ALF, and Poincaré-Einstein metrics. Generalizations of the Einstein condition, such as Bach-flat metrics and Ricci solutions.
- Sasaki-Einstein metrics and metrics with special holonomy. New examples and classification problems.

CMI Enhancement and Partnership Program