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The general theme of the Differential Geometry and Analysis CRG is the use of analytical methods to solve geometric problems, such as constructing special submanifolds of given manifolds: minimal hypersurfaces, which are important in the study of Kähler manifolds or Calabi-Yau manifolds; hypersurfaces of constant mean curvature, which are important in general relativity. It is hoped, for instance, to determine the extent to which spacetimes without constant mean curvature Cauchy surfaces are prevalent among solutions of the Einstein equations.
The CRG will be based at the University of British Columbia, Simon Fraser University and the University of Washington.