Homotopy theory of strict omega-categories

Dimitri Ara – 18 May 2022

In this talk, I will present an ongoing project with Georges Maltsiniotis about generalizing the homotopy theory of small categories of Quillen, Thomason and Grothendieck to strict omega-categories. I will insist on the omega-categorical constructions we use in that project, such that the Gray tensor product, the join, the slices and the comma construction.