Time: Monday 2:30- 3:50 pm, Zoom link (please contact the organizers for the link)
Room: SCHM 103 (Purdue)
Time: Monday 2:30- 3:50 pm, Zoom link (please contact the organizers for the link)
Room: SCHM 103 (Purdue)
Schedule and Plan:
Here is the Introduction and Plan
Jan 12: Overview: Explain the main goal of this semester. Speaker: Shubhodip Mondal (Purdue)
Title: Overview of prismatic F-gauges.
Abstract: This talk will be an introduction and a brief overview of prismatic F-Gauges and their connection to p-adic cohomology theories.
January 22 (Note the changed time: 4:00-5:20 pm) Prismatic cohomology. Speaker: George Nicolas Diaz-Wahl (Purdue)
Title: Overview of Prismatic Cohomology
Abstract: We will define the notion of prisms and prismatic cohomology, emphasizing the examples of crystalline, perfect, and Breuil-Kisin prisms. We will also review the Nygaard filtration on prismatic cohomology in the quasi-syntomic setting
Jan 26. Review Stacks and anything needed for Chapter 2. Speaker Mansimar Singh (Purdue)
Feb 2. Review the main results from Chapter 2. Speaker: Zichuan Wang (IU)
References and useful links (also see the website of learning seminar during Fall 2025 )
Prismatic F-gauge (Bhatt's notes for a class taught at Princeton, which will be our main reference)
Prisms and Prismatic Cohomology (Bhatt and Scholze's paper on prismatic cohomology)
Prismatization (Drinfeld's article on the stacks \Sigma, \Sigma', \Sigma'', also called ``prismatization", ``Nygaard filtered prismatization" and ``syntomification" of Z_p)
Absolute prismatic cohomology (Bhatt and Lurie's article on ``prismatization", which is called Cartier-Witt stack in their paper)
Dieudonn\'e theory via cohomology of classifying stacks and prismatic F-gauges (Mondal's article containing an approach to prismatic F-gauges via quasisyntomic descent)
An algebraicity conjecture of Drinfeld and the moduli of p-divisible groups (article of Gardner-Madapusi containing an exposition of the stacks we need equipped with suitable derived structures)
Prismatic F-gauges and a result of T. Liu (containing a summary of the stacks we need)