Abstract：A central problem of differential geometry and geometric analysis is the geometrization problem on manifolds. It is to determine which smooth manifolds admit certain geometric structures. One of goals is to understand and classify the singularity models of the corresponding nonlinear geometric evolution equation, and to connect it to existence problem of geometric structures on manifolds. In this talk, we will explore some of geometric structures for Sasaki-Ricci solitons which often arise as the blow-up limits of singularity dilations along the Sasaki-Ricci flow in a closed manifold.
