Geometry and Topology Seminar
Monday, December 04, 2017 at 3:00pm to 4:00pm
Laura Starkston (Stanford)
Title: Symplectic isotopy
Abstract: Symplectic surfaces in CP^2 gain significance through a theorem of Auroux stating that all symplectic 4-manifolds are obtained as branched covers of CP^2 with branching set an immersed cuspidal symplectic surface. Though initial progress classifying smooth symplectic surfaces in CP^2 dates back to Gromov's 85 paper, we still have not solved this "symplectic isotopy problem" in high degrees. I will discuss a new approach to the smooth symplectic isotopy problem, and discuss versions for curves with nodal and cuspidal singularities.