Presented By: Department of Mathematics
Student Geometry/Topology
Exotic manifolds and the generalized Poincare conjectures.
I will discuss the history of the generalized Poincare conjectures, which ask whether a manifold which has the homotopy type of a sphere is actually homeomorphic/diffeomorphic to the standard sphere. I will then present Milnor's first example of an exotic manifold. That is, a manifold with two non-diffeomorphic smooth structures. Speaker(s): John Kilgore (UM)
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