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.)