Title: Symplectic fillings of lens spaces

Abstract: Many contact 3-manifolds arise as boundaries of symplectic 4-manifolds, and we are often interested in the filling problem for a given contact 3-manifold.  That is, how many symplectic 4-manifolds have the given contact boundary?  This problem has previously been solved for standard contact structures on lens spaces.  We use a recent technique due to Menke to show that the filling problem for non-standard contact structures on lens spaces can be reduced to the same problem for standard structures.  This talk is based on joint work with Youlin Li.