Oberseminar: Vsevolod Shevchishin (D.13.15)
Recently Borman-Li-Wu gave an example of two Lagrangian embeddings of $\mathbb{RP}^2$ in the $9$-fold blow-up of $\mathbb{CP}^2$ which have the same $\mathbb{Z}_2$-homology class but are not isotopic to each other even smoothly. In this talk, I present a classification of isotopy classes of Lagrangian embeddings of $\mathbb{RP}^2$ in rational symplectic $4$-manifolds based on the technique of symplectic neck stretching.