The Kervaire Invariant One problem
February 23, 2010
Bailey Hall 201
I'll describe a classical problem from differential topology: how many smooth structures can we put on the n-Sphere? Seminal work of Milnor and Kerviare tied this to the existence or non-existence of a family of manifolds, and I will describe joint work with Hopkins and Ravenel in which we prove such a family does not exist except in a very limited range of dimensions.
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