Chromatic Homotopy Theory Seminar
This is the website for the reading seminar “Chromatic Nullstellensatz” running on Fall 22-Spring 23. There’s a Discord server for the group for whose link please contact me if you’re interested.
The goal of this seminar is to understand Burklund-Schlank-Yuan’s Chromatic Nullstellensatz and redshift phenomena for algebraic K-theory of E∞-rings. We’re meeting on Saturdays.
| Date | Title of the talk | Speaker | Notes and Video |
|---|---|---|---|
| November 27 | An Introduction to Spectra and Localisation | Amartya | Video,Notes |
| December 18 | Stack of Formal Groups and Height | Grigory | Video, Notes |
| January 21 | Lazard’s Theorem and Complex Oriented Cohomology Theories | Amartya | Video, Notes |
| January 28 | MU and Complex Orientations | Rushil | Video, Notes |
| February 04 | The Adams Spectral Sequence for MU | Grigory | Notes, Video |
| February 11 | Flatness over $\mathcal{M}_{\text{FG}}$ and Landweber Exactness | Amartya | Notes, Video |
| February 25 | Morava Stabiliser Groups and Bousfield Localisation | Logan | Video, Notes |
| March 5 | Lubin-Tate Theory | Amartya | Video, Notes |
| March 25 | An Introduction to the Chromatic Nullstellensatz | Torgeir | Notes, Video |
| April 08 | Spherical Witt Vectors and Deformation Theory | Amartya | Notes, Video |
| April 29 | Construction of E-Theory and Power Operations | Rushil | Notes, Video |
| May 06 | Detection of Nilpotence | Logan | Notes, Video |
| May 20 | Nullstellensatzian $T(n)$-local $E_{\infty}$ ring spectra | Amartya | Video, Notes |
| May 27 | The constructible Spectrum | Rushil | Video |
| June 19 | Picard Groups and Orientations | Jonathan | Video, Notes |
| July 6 | Redshift Phenomena | Tomer | Notes |
References
| Nilpotence and Periodicity in Stable Homotopy Theory | Douglas C. Ravenel |
| Chromatic Homotopy Theory | Jacob Lurie |
| Formal Geometry and Bordism Operations | Eric Peterson |
| THE CHROMATIC NULLSTELLENSATZ | Robert Burklund, Tomer M. Schlank, and Allen Yuan |