| Abstract: |
| In the optimal transport problem, singularities may arise when the target domain is non-convex. In this talk, we will discuss some recent results concerning the structure of singularities. In particular, we will show that the singular set is locally a smooth curve away from a finite number of points, provided the target domain is a non-convex polygon. This is based on joint work with Yuanyuan Li and Jiakun Liu. |
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