IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Zoominar

In this talk, we will explore the relationship between the geometry and topology of a complexity-one four-manifold and the combinatorial data that encode it. We will use a generators-and-relations description for the even part of the equivariant cohomology of the manifold to see what geometric aspects the equivariant cohomology determines. Namely, it allows us to reconstruct the diffeotype but not the complex structure. The talk will be driven by specific examples and pictures. It is based on joint work with Liat Kessler and Susan Tolman.