Kähler Geometry, Einstein Metrics, and Generalizations
Month: March 2016
Date: March 21--25
Name: Kähler Geometry, Einstein Metrics, and Generalizations
Location: Mathematical Sciences Research Institute, Berkeley, California.
The workshop will integrate elements from complex differential geometry with Einstein metrics and their generalizations. The topics will include
1. Existence of Kähler-Einstein 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.
2. Calabi-Yau metrics and collapsed limit spaces. Connections with physics and mirror symmetry. 3. Einstein metrics and their moduli spaces, $\epsilon$-regularity, noncompact examples such as ALE, ALF, and Poincaré-Einstein metrics. Generalizations of the Einstein condition, such as Bach-flat metrics and Ricci solitons.
4. Sasaki-Einstein metrics and metrics with special holonomy. New examples and classification problems.