Geometry and Topology
Speaker: Daniel Fuentes-Keuthan (Johns Hopkins University)
"Understanding Goodwillie Towers of Infinity Categories"
Time: 15:30
Room: MC 107
In a foundational series of papers Goodwillie laid the grounds for a theory of "Taylor Series" for homotopy theory, defining a tower of functors which interpolate between the stable and unstable homotopy type of a functor. Work of Heuts refined this picture by associating to an infinity category a tower of infinity categories which interpolate between the stabilization and the category in a compatible way. Key to the understanding of this tower is a sequence of natural transformations referred to as "Tate diagonals". I will describe some attempts to understand these Tate diagonals, and if time permits some relations between Heuts tower and the homotopy nilpotent groups of Biederman and Dwyer.
Mathematics Calendar 
Week of November 17, 2019
