Seminar in Real & Complex Geometry

Thursday, 13.11.2014, 16:00-17:30, Schreiber building, room 210

Emmanuel Opshtein, Universite de Strasbourg

Singularities of pseudo-holomorphic curves and symplectic embeddings in CP^2


The main focus of this talk will concern the algebraic singularities that can be realized by a symplectic curve of degree k in CP^2. I will explain on one hand a strong relation between these singularities and symplectic embeddings of specific domains. On the other, I will explain a flexibility property at the level of symplectic embeddings of these domains in CP^2 (mainly due to McDuff). As a result, I will describe a flexibility property of the singularities of a symplectic (or pseudo-holomorphic) curve.