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Wednesday, April 1, 2015

**Abstract:** This talk will describe joint work with Andrew Blumberg where we build on work of Rognes to compute the homotopy groups of K(S) in terms of the homotopy groups of the sphere spectrum, the homotopy groups of $\mathbb C P^\infty_{-1}$, and the homotopy groups of $K(\mathbb Z)$. If time permits, I will say something about nilpotence of the multiplicative structure.