The goal of this seminar is to introduce participants to functor calculus. In the first three weeks, Jens Jakob Kjaer will give a minicourse (notes below). The following weeks, participants will give talks and lead problem sessions on related topics of their choice.

Jens has provided a description of the minicourse and some ideas for related topics: Link.

Organizers: Jens Jakob Kjaer and J.D. Quigley
Seminar: Wednesday, 10:30-11:30am, Hurley 258
Problem session: Thursday, 3:30-4:30pm, Hurley 258

Schedule

• January 23
  Minicourse: Part 1 (Jens Jakob Kjaer)
  Notes Exercises
• January 30
  Minicourse: Part 2 (Jens Jakob Kjaer)
  Notes
• February 6
  Minicourse: Part 3 (Jens Jakob Kjaer)
  Notes Exercises
• February 13
  Introduction to manifold calculus (Bridget Schreiner)
  Notes Exercises
• February 20
  The Goodwillie tower and the EHP sequence (Mark Behrens)
  Notes
• February 27
  No seminar
  
• March 6
  The chain rule (Taylor Sutton)
  Notes Exercises
• March 13
  Spring break - no seminar
  
• March 20
  Nonequivariant derivatives of the identity via the Hilton-Milnor theorem (Nikolai Konovalov)
  Notes Exercises
• March 27
  Equivariant derivatives of the identity (Nikolai Konovalov)
  Notes Exercises
• April 3
  Orthogonal calculus (Sarah Petersen)
  Notes Exercises
• April 10
  Heuts' thesis (Tim Campion)
  Notes Exercises
• April 17
  The first derivative of K-theory is THH (Hari Rau-Murthy)
  Notes Exercises
• April 24
  Goodwillie calculus of rational spaces (Jens Jakob Kjaer)
  Notes Exercises
• May 1
  Goodwillie towers and chromatic homotopy (J.D. Quigley)
  Notes Exercises