Details
The group 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 3 - Algebraic de Rham Cohomology, I Roughly going over sections 2.1-2.4.
Week 4 - Algebraic de Rham Cohomology, II (Arun) Covering the remainder of the chapter.
Week 5 - Crystalline cohomology, the Nygaard filtration, and Mazur’s theorem
Week 6 - Syntomic cohomology in characteristic p and duality
Week 7 - Filtered prismatization in mixed characteristic
Week 8 - Syntomification and duality