Algebra/Topology seminar

Speaker: Guozhen Wang

Title: Stable homotopy of real projective spaces and the uniqueness of the smooth structure on the 61 sphere.

Abstract: By the Kahn-Priddy theorem, any element in the stable homotopy groups of the sphere can be represented by one in the real projective space under the transfer map. This gives a general way to find Adam differentials by a zig-zag method. As an application, we show that the 61 stem of the stable homotopy groups of sphere vanishes, which implies that the 61 sphere has unique smooth structure.