Symplectic versus algebraic curves in the complex projective plane

Vendredi 22 mars 14:00-15:00 - Laura Starkston - UC Davis

Résumé : We will discuss the existence and classifications of various types of symplectic surfaces, with singularities modeled on those of complex curves. We will see similarities and differences between the symplectic and algebraic categories, reflecting the rigidity of pseudoholomorphic curves, the complexity of 4-dimensional topology, and the flexibility of the open symplectic condition for submanifolds. We will particularly report on results on rational cuspidal curves in the symplectic category. This is joint work with Marco Golla.

Lieu : Université de Nantes, Laboratoire de Mathématiques Jean Leray, Salle Eole.

Symplectic versus algebraic curves in the complex projective plane  Version PDF