# Talbot 2013: Chromatic Homotopy Theory

## Mentored by Mark Behrens and Tyler Lawson

###
April 21-27, 2013

South Lake Tahoe, California

**Here is a PDF of the syllabus for the 2013 Talbot workshop.**
(Posted February 8th, 2013.) This includes detailed talk descriptions, references, and a discussion of prerequisites.

Thanks to Paul and Kirsten, notes are now available for every talk, sometimes in a selection of flavors.

Talk videos (poor quality, unfortunately) for the Boston-area pre-Talbot seminar, which focuses on prerequisities, are available here.

Northwestern University has also been conducting a seminar in preparation for the Talbot Workshop. You can find notes from the Northwestern pre-Talbot seminar here.

The talk schedule is as follows.

**Introduction**, by Mark Behrens (MIT). Paul's notes. Kirsten's notes.**The Adams-Novikov spectral sequence and the Landweber exact functor theorem**, by Gabriel Valenzuela (Wesleyan). Paul's notes. Kirsten's notes.**The chromatic spectral sequence**, by Nima Rasekh (Western Ontario). Paul's notes. Kirsten's notes.**Nilpotence**, by Callan McGill (Sheffield). Paul's notes. Kirsten's notes.**Periodicity**, by Robert Legg (Northwestern). Paul's notes. Kirsten's notes.**Morava E-theory**, by Alexander Kupers (Stanford). Sander's notes. Paul's notes. Kirsten's notes.**The chromatic tower**, by Aaron Mazel-Gee (Berkeley). Kirsten's notes.**The K(n)-local sphere**, by Johan Konter (Northwestern). Paul's notes. Kirsten's notes.**The J spectrum**, by Vitaly Lorman (Johns Hopkins). Vitaly's notes. Paul's notes. Kirsten's notes.**Higher real K-theories**, by Arnav Tripathy (Stanford). Arnav's notes. Paul's notes. Kirsten's notes.**Topological modular forms**, by Sebastian Thyssen (Bochum). Paul's notes. Kirsten's notes.**Topological automorphic forms**, by Charmaine Sia (Harvard). Paul's notes. Kirsten's notes.**Tate spectra**, by Sean Tilson (Wayne State). Paul's notes. Kirsten's notes.**Morava K-theory of Eilenberg-Mac Lane spaces**, by Eric Peterson (Berkeley). Eric's notes. Paul's notes. Kirsten's notes.**Gross-Hopkins duality and Pic**, by Saul Glasman (MIT), feat. Aaron Mazel-Gee (Berkeley). Paul's notes. Kirsten's notes.**Hopkins-Kuhn-Ravenel character theory**, by Nat Stapleton (MIT). Paul's notes. Kirsten's notes.**The telescope and chromatic splitting conjectures**, by Tobi Barthel (Harvard). Paul's notes. Kirsten's notes.**Resolutions of the K(2)-local sphere**, by Drew Heard (Melbourne). Paul's notes. Kirsten's notes.**Other future directions**, by Tyler Lawson (Minnesota). Paul's notes. Kirsten's notes.

#### Monday:

#### Tuesday:

#### Wednesday:

**Conference hike.**

#### Thursday:

#### Friday:

**Discussion.**