GT seminar: Bordism from quasi-isomorphism

Abstract: The Fukaya category detects lots of topological infomation, both intrinsic and extrinsic, about (closed, exact) Lagrangians: such as their cohomology ring (intrinsic) and their fundamental class in the ambient symplectic manifold (extrinsic). I'll explain why it also detects bordism-theoretic infomation, with applications to studying nearby Lagrangians. This involves using a spectral Fukaya category, and using obstruction theory to "lift'' an equivalence from the ordinary to the spectral world. Based on joint work with Ivan Smith.

This is a talk in our Geometry and Topology Seminar Series.