January 25, 2009, 2:10 pm

Bahen 6183

Abstract: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.