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Lecture by Peter Ozsvath from Princeton University exploring Bordered Floer homology as part of the Unni Namboodiri Lectures in Geometry and Topology series. Discover how this mathematical invariant for three-manifolds establishes a Mayer-Vietoris like description of Heegaard Floer homology. Learn how the theory associates an algebra A(S) to a surface S, a module over A(S) to a bordered three-manifold with boundary S, and how it expresses the Heegaard Floer homology of glued closed three-manifolds using the modules of their component pieces. Explore recent developments in the unspecialized theory, based on joint work with Robert Lipshitz and Dylan Thurston, presented at the University of Chicago Department of Mathematics.
