One of central problems of geometric analysis is to  understand and classify singularity models of the nonlinear geometric evolution equation, and to connect it to the existence problem of geometric structures in a manifold. For instance, by studying singularity models of the Ricci flow, R. Hamilton and G. Perelman solved the Poincare conjecture and Thurston geometrization conjecture for closed 3-manifolds in recent year.
    Along this direction,  we propose to study the most important geometrization problem of closed CR 3-manifolds via the CR torsion flow.  In this talk, we will survey the most recent progress along this line.

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