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# 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.

#### Description

The workshop will integrate elements from complex differential geometry with Einstein metrics and their generalizations. The topics will include $\bullet$ 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. $\bullet$ Calabi-Yau metrics and collapsed limit spaces. Connections with physics and mirror symmetry. $\bullet$ 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. $\bullet$ Sasaki-Einstein metrics and metrics with special holonomy. New examples and classification problems.