报告摘要：
| The fractional Laplacian operator being a special conformally convariant operator has been extensively studied by both PDE community and conformal geometry community. One of the most important problem is the Yamabe problem. In this talk, I will talk about our recent work with H. Chan, A. DelaTorre, M. Gonzalez and J.C. Wei on the fractional Yamabe problem with singularities. The singularity set can be isolated points or higher dimensional manifold with dimension constraint. This result is the analogous result for the classical Yamabe problem. The main contribution of our work is the development of new methods to study non-local ODEs.
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