The EHP sequence and the Goodwillie tower

The EHP sequence and the Goodwillie tower

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Mark Behrens, MIT
Fine Hall 314

The EHP sequence and the Goodwillie tower of the identity give two different spectral sequences for computing the unstable homotopy groups of spheres. I will explain how the two can be mixed, so that each provides information about the differentials in the other. To demonstrate the effectiveness of the techniques presented, the methods will be applied to recompute the 2-primary Toda range (first 20 unstable stems).