Motives at p

Semester: 

Fall

Offered: 

2022

Motives at p

The class meets Tuesday at 430pm and, Thursday at 130pm at SC 507.

Informally, my goal in this class is to promote "motives as mathematical lifestyle" with a particular view towards p-adic and characteristic p ideas. Formally, one of the first goals of this class is to prove the Geisser-Levine theorem which asserts a certain "discreteness" that mod-p algebraic K-theory and algebraic cycles enjoy in characteristic p. (Not so) secretly, it's to push me to write some stuff which I have finished with Matthew Morrow.

The class, unofficially, began with a mini-course on prismatic cohomology (hence the negative-indexed lectures). It is not, by any means, a prerequisite though.

syllabus-272z.pdf43 KB