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.

    Monday:

  1. Introduction, by Mark Behrens (MIT). Paul's notes. Kirsten's notes.
  2. The Adams-Novikov spectral sequence and the Landweber exact functor theorem, by Gabriel Valenzuela (Wesleyan). Paul's notes. Kirsten's notes.
  3. The chromatic spectral sequence, by Nima Rasekh (Western Ontario). Paul's notes. Kirsten's notes.
  4. Nilpotence, by Callan McGill (Sheffield). Paul's notes. Kirsten's notes.
  5. Periodicity, by Robert Legg (Northwestern). Paul's notes. Kirsten's notes.
  6. Tuesday:

  7. Morava E-theory, by Alexander Kupers (Stanford). Sander's notes. Paul's notes. Kirsten's notes.
  8. The chromatic tower, by Aaron Mazel-Gee (Berkeley). Kirsten's notes.
  9. The K(n)-local sphere, by Johan Konter (Northwestern). Paul's notes. Kirsten's notes.
  10. The J spectrum, by Vitaly Lorman (Johns Hopkins). Vitaly's notes. Paul's notes. Kirsten's notes.
  11. Wednesday:

  12. Higher real K-theories, by Arnav Tripathy (Stanford). Arnav's notes. Paul's notes. Kirsten's notes.
  13. Topological modular forms, by Sebastian Thyssen (Bochum). Paul's notes. Kirsten's notes.
  14. Topological automorphic forms, by Charmaine Sia (Harvard). Paul's notes. Kirsten's notes.
  15. Conference hike.

    Thursday:

  16. Tate spectra, by Sean Tilson (Wayne State). Paul's notes. Kirsten's notes.
  17. Morava K-theory of Eilenberg-Mac Lane spaces, by Eric Peterson (Berkeley). Eric's notes. Paul's notes. Kirsten's notes.
  18. Gross-Hopkins duality and Pic, by Saul Glasman (MIT), feat. Aaron Mazel-Gee (Berkeley). Paul's notes. Kirsten's notes.
  19. Hopkins-Kuhn-Ravenel character theory, by Nat Stapleton (MIT). Paul's notes. Kirsten's notes.
  20. Friday:

  21. The telescope and chromatic splitting conjectures, by Tobi Barthel (Harvard). Paul's notes. Kirsten's notes.
  22. Resolutions of the K(2)-local sphere, by Drew Heard (Melbourne). Paul's notes. Kirsten's notes.
  23. Other future directions, by Tyler Lawson (Minnesota). Paul's notes. Kirsten's notes.
  24. Discussion.