Kähler Geometry, Einstein Metrics, and Generalizations

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.