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I will explain joint work with Kyler Siegel that solves the
stabilized symplectic embedding problem for ellipsoids into rigid Fano
surfaces. The key is to translate this into a problem of constructing
suitable unicuspidal curves, and then to investigate this via scattering
diagrams and their symmetries. The talk will be based on the papers arXiv:2404.00561 and ArXiv:2412.14702 |