Matthew Burke

Title: Linearisation of infinity categories
Abstract: In a paper on the Goodwillie calculus Lurie defines a linearisation procedure that forms a map of infinity bi-categories. In this talk we show how this result transfers into the 2-categorical setting for quasi-categories developed by Riehl and Verity. If we have time we sketch how to express a tangent bundle pseudo-functor in terms of the linearisation pseudo-functor.