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
