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Mathematics Colloquium

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Date:  Tuesday, February 22, 2011

Title:  On the non-existence of Kervaire Invariant One Manifolds

Abstract:  In this talk, I will discuss joint work with Hopkins and Ravenel in which we show the non-existence of Kervaire invariant one manifolds in all but 6 dimensions. This answers several classical questions ranging from the number of smooth structures on spheres to the survival of elements in the Adams spectral sequence. Our solution builds on the homotopy theoretic formulation of the problem and uses equivariant homotopy theory to solve it.


Speaker:  Mike Hill
Institution:  University of Virginia

 

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