In complex algebraic geometry, a ruled surface is a 2-dimensional projective variety such that there exists a (complex projective) line through each point. Symplectic ruled surfaces were studied by McDuff in the 90´s. In this talk, I will give a characterization of ruled surfaces in the log-symplectic category. The proof uses a construction of moduli spaces of holomorphic curves, which I will discuss.
Links:
[1] http://www.mpim-bonn.mpg.de/taxonomy/term/39
[2] http://www.mpim-bonn.mpg.de/node/3444
[3] http://www.mpim-bonn.mpg.de/node/7958