Topology Seminar
The homotopy type of the fiber of the \(p^\text{th}\) power map on loop spaces of spheres
Steven Amelotte, University of Rochester
Wednesday, October 3rd, 2018
5:00 PM - 6:00 PM
Hylan 1106A
5:00 PM - 6:00 PM
Hylan 1106A
In this talk, I will describe the problem of decomposing the homotopy fiber of the \(p^\text{th}\) power map on loop spaces of spheres as a product of indecomposable factors. In particular, I will outline a proof that, for odd primes \(p\), the decomposition problem for \(\Omega S^{2n+1}\{p\}\) 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
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