This term (Trinity ‘25), I am coorganising a reading group / learning seminar on the topic of Prismatic F-Gauges, following Bhatt’s notes here.

Details (Last updated 30/5)

We will meet at 13:30 in C6 on Thursdays.

Plan

The plan for future weeks is as follows, simply following the chapters of Bhatt’s lecture notes here

Week 1 - Organisational Meeting

Week 2 - Introductory talk (Sam) Background to Bhatt’s lecture notes: some remarks on p-adic Hodge theory; the definitions of prisms and relative prismatic cohomology; an introduction to work of Drinfeld and Bhatt-Lurie on the ‘stacky’ perspective and absolute prismatic cohomology.

Week 5 - Algebraic de Rham Cohomology, I (Arun) Roughly going over sections 2.1-2.4.

Week 6 - Algebraic de Rham Cohomology, II (Sofia) Covering the remainder of the chapter.

Week 7 - Crystalline cohomology, the Nygaard filtration, and Mazur’s theorem (Ken)

Week 8 - Syntomic cohomology in characteristic p and duality

Tentatively: Week 9 - Filtered prismatization in mixed characteristic

Week 10 - Syntomification and duality