Lagrangian embeddings of RP^2 in rational symplectic 4-manifolds (Vsevolod Shevchishin -- University of Warmia and Mazury at Olsztyn)

Recently Borman-Li-Wu gave an example of two Lagrangian embeddings of RP^2
in the 9-fold blow-up of CP^2 which have the same Z_2-homology class but
not isotopic to each other even smoothly. In my talk I present a
classification of isotopy classes of Lagrangian embeddings of RP^2 in rational symplectic 4-manifolds based on
the technique of the symplectic neck stretching.
I also explain the meaning of Lagrangian submanifolds in K"ahler manifolds
from the point of view of complex analysis.