This is the website for a graduate student learning seminar at UT Austin in Spring 2021.

Meeting:

We meet on Thursday 12:30 pm - 2 pm over Zoom.

References:

The primary plan for the seminar is to work through the following lecture notes:

• Chromatic Homotopy Theory, notes for a course by Jacob Lurie given in 2010 at Harvard.

Some additional resources:

• COCTALOS, legendary notes from a course taught by Mike Hopkins at MIT in 1999.
• Nilpotence and Periodicity in Stable Homotopy Theory, wonderful book by Dough Ravenel
• Large list of additional resources compiled by the good folks at mathoverflow.

Schedule:

Date	Topic	Lecture #	Speaker
January 28	Introduction & Overview; Scheduling	1	Rok Gregoric
February 4	Formal group laws and Lazard's Theorem	2,3	Saad Slaoui
February 11	Complex oriented cohomology and MU	4,5,6	Rok Gregoric
February 18	SNOW DAY
February 18	Quillen's Theorem, pt. 1	7,8	Rok Gregoric
February 25	Quillen's Theorem, pt. 2	9, 10	Rok Gregoric
March 11	Formal groups	11	Desmond Coles
March 18	SPRING BREAK
March 25	Classification by height	12,13,14	Saad Slaoui
April 1	Sheaves on MFG & LEFT	15,16,17,18	Tom Gannon
April 1	Adams-Novikov spectral sequence	10, 11	Rok Gregoric
April 15	Local structure of MFG - Morava stabilizer group and Lubin-Tate theory	19, 21	Jackson Van Dyke
April 22	Bousfield localization, Morava E and K-theory	20, 22	Rok Gregoric
April 29	K(n) are prime fields & Nilpotence Theorem	24, 25
May 6	Thick Subcategory and Periodicity Theorems	26, 27	Richard Wong
?	Telescopic localization	28, 29
??	ANSS & Smash Product Theorem	30, 31
???	Chromatic convergence	32, 33
????	Monochromatic layers	34
?????	Image of J	35