University of Toronto's Symplectic Geometry Seminar

January 25, 2009, 2:10 pm
Bahen 6183

Doug Park

University of Waterloo

Geography of symplectic 4-manifolds


I will attempt to give a survey of the geography problem for simply connected symplectic 4-dimensional manifolds. Given a pair of integers, this problem asks whether the pair can be expressed as the Euler characteristic and the signature of some simply connected symplectic 4-manifold (that is irreducible). In particular, I will describe some examples of 4-manifolds that were recently constructed jointly with A. Akhmedov.