Talk given by Ali Khalili Samani (University of Melbourne) at the Australian Postgraduate Algebra Conference on 19th September 2024.

Abstract: I introduce the categorical Hopf map, the higher analog of the Hopf map. I explain its relation to the classical Hopf map. I show that we can write the categorical Hopf map as a composition of the Hopf map and the basic bundle gerbe over a three-dimensional sphere. If time permits, I will talk about some motivations for the categorical Hopf map.