Topology and Geometry Seminar

Location: CL 251

Speaker: Safarul Rashid, University of Regina

Title: Adams Operations

Abstract:  

In this talk, we will explore cohomology operations on K-theory, called the Adams operations, that arise from exterior power constructions. We will discuss some of their properties and see how Adams and Atiyah used them to give a simple solution to the Hopf invariant one problem, which has connections to parallelizability of spheres as well as algebraic structures on spheres and Euclidean spaces.