A skeleton key to Lurie's higher Grothendieck constructions

Alexander Campbell – 22 August 2018

In Higher Topos Theory, Lurie introduced two Grothendieck constructions for diagrams of quasi-categories, called the relative nerve and unstraightening. In this talk, I will explain how Lurie's definitions of these two constructions can be recast to fit a common pattern, differing only in the models for lax cones that they employ.