Topology and Geometry Seminar

Location: CL 251

Speaker: Martin Frankland, University of Regina

Title: Introduction to topological \(K\)-theory

Abstract:  

Topological \(K\)-theory is an invariant of spaces based on vector bundles. We will review vector bundles and their representability by Grassmannians. We will then introduce the group \(K^0(X)\), which measures to what extent vector bundles on \(X\) can be non-trivial. Finally, Bott periodicity will allow us to extend the group \(K^0(X)\) to a cohomology theory.