# Talbot 2012: Calculus of Functors

## Mentored by Gregory Arone and Michael Ching

###
May 14-18, 2012

Garden City, Utah

## Notes from the Talks

**Here is a PDF of the talk schedule for the 2012 Talbot.**
(Posted January 20th, 2012.) This includes a detailed description of the content of each talk, along with references.

**Here is a PDF of the preparatory exercises for the 2012 Talbot.**
(Posted April 7th, 2012.) This includes a detailed description of the background material we'll be using for the workshop, along with some references.

**Here is a PDF of the notes taken by Claudia Scheimbauer of ETH Zurich.**
(Posted May 21st, 2012.)

**Here is a PDF of the notes taken by Chris Kapulkin of University of Pittsburgh.**
(Posted June 19th, 2012.)

You can also download the notes provided by (some) speakers below. These are different from the notes taken by Claudia and Chris.

**Introduction and overview**, by Greg Arone (UVA).**Polynomial and analytic functors**, by Dan Lior (UIUC).**Constructing the Taylor tower**, by Geoffroy Horel (MIT).**Homogeneous functors**, by Matthew Pancia (UT Austin).**First examples**, by Joey Hirsh (CUNY).**The derivatives of the identity functor**, by Gijs Heuts (Harvard).**Operad and module structures on derivatives**, by Emily Riehl (Harvard).**Classification of polynomial functors**, by Michael Ching (Amherst).**Orthogonal Calculus I: theory**, by Kerstin Baer (Stanford).**Orthogonal Calculus II: examples**, by Sean Tilson (Wayne State).**Introduction to embedding calculus**, by Daniel Berwick-Evans (UC Berkeley).**Multiple disjunction lemmas**, by Greg Arone (UVA).**Embedding calculus, the little disks operad, and spaces of embeddings**, by Alexander Kupers (Stanford). Sander also gave a talk on Kontsevich formality at Stanford.**Factorization homology**, by Hiro Lee Tanaka (Northwestern).**Applications to algebraic K theory I**, by Pedro Brito (Aberdeen)**Applications to algebraic K theory II**, by Ernest E. Fontes (UT Austin).**Calculus of functors and chromatic homotopy theory**, by Tobias Barthel (Harvard).**Taylor tower of the identity functor, part 2**, by Vesna Stojanoska (MIT).**Where do we go from here?**by Greg Arone.

(Artwork by Saul Glasman. Photo by Claudia Scheimbauer.)