Matthew Burke

Date: April 30, 2018

Time: 13:30-15:00

Location: MS 427


Title: A Two Dimensional Setting for the Calculus of Infinity Functors
Abstract: In this talk we combine two related approaches to the theory of infinity categories. On the one hand we use derivators to work with (homotopy) (co)limits within small infinity categories. Using this theory we define the excisive functors, suspension functors etc.. that are commonly used in the Goodwillie calculus. On the other hand we use the homotopy 2-category of quasi-categories developed by Riehl and
Verity to describe relationships between the small infinity categories themselves. Using this theory we work out how to form colimits in an infinity category of excisive functors.