Graduate student Geometry and Topology learning seminar

Robert Garbary, Pure Mathematics, University of Waterloo

"Manifolds in Euclidean Spaces"

So far we have been studying a manifold M along with a smooth function f on M whose only critical points are non-degenerate. We have made a lot of cool progress, but there is still a major hole: which manifolds actually admit these functions? I’m going to address this question when our manifold actually comes with an embedding into Euclidean space.