Equivariant Cohomology and the (Symplectic) Diffeotype of Complexity-One Four-Manifolds

In this lecture from the IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Zoominar series, Cornell University professor Tara Holm explores the relationship between geometry, topology, and combinatorial data in complexity-one four-manifolds. Examine how generators-and-relations descriptions for the even part of equivariant cohomology can determine geometric properties, specifically allowing for reconstruction of the diffeotype but not the complex structure. The 59-minute presentation features specific examples and visual illustrations based on joint research with Liat Kessler and Susan Tolman. Scheduled for April 18, 2025, at 9:15am via remote access, this talk connects advanced concepts in symplectic geometry with practical applications in manifold classification.