Steven Amelotte, University of Rochester
5:00 PM - 6:00 PM
In this talk, I will describe the problem of decomposing the homotopy fiber of the power map on loop spaces of spheres as a product of indecomposable factors. In particular, I will outline a proof that, for odd primes , the decomposition problem for is equivalent to the strong odd primary Kervaire invariant problem. Time permitting, I will discuss relations to other classical problems in homotopy theory concerning homotopy exponents, Moore spaces, the double suspension map and the Kahn–Priddy theorem.
Event contact: samelott at ur dot rochester dot edu