$
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\newcommand{\bW}{\mathbf{W}}
\newcommand{\Gm}{\bG_m}
\newcommand\Ascr{\mathcal{A}}
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\newcommand\Escr{\mathcal{E}}
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\newcommand\Lscr{\mathcal{L}}
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\newcommand\heart{\heartsuit}
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\newcommand\aCAlg{\mathfrak{a}\CAlg}
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$
We will follow, with some minor modifications, the Bonn
syllabus from one year ago to study the paper on
prismatic Dieudonn'e theory from Anschütz and Le Bras [1], concluding with an addendum for
Mondal’s paper [3] on the stacky approach to the theory.
The seminar meets from 1300 to 1500 central time on Thursdays.
Syllabus
Talk 1 (01/14). Classical Dieudonné theory over perfect fields of characteristic $p>0$. Bao Le Hung.
Talk 2 (01/21). The crystalline Dieudonné module. Benjamin Antieau.
Talk 3 (01/28). Dieudonné theory over perfect rings of characteristic $p>0$.
Micah Darrell.
Talk 4 (skip). Dieudonné theory over $\Oscr_C$.
Talk 5 (02/04). Prisms and perfectoid rings. Eivind Hjelle.
Talk 5.5 (02/04). Prismatic cohomology. Go over the main results of the Bhatt-—Scholze paper [2] on prismatic cohomology. Carlos Cortez.
Talk 6 (02/11). Filtered prismatic Dieudonné crystals. Elchanan Nafcha.
Talk 7 (02/18). Definition of the functor. Joel Stapleton.
Talk 8 (02/18). Finiteness results. Deven Manam.
Talk 9 (02/25). The $q$-logarithm. Adam Holeman.
Talk 10 (03/04). Fully faithfulness. Kirill Magidson.
Talk 11 (03/11). Essential surjectivity. Adam Holeman.
Talk 12 (03/18). Mondal’s paper [3]. Artem Prikhodko.
References
[1] Anschütz and Le Bras, Prismatic Dieudonné theory, arXiv:1907.10525.
[2] Bhatt and Scholze, Prisms and prismatic cohomology,
arXiv:1905.08229.
[3] Mondal, Dieudonné theory via cohomology of classifying stacks,
arXiv:2002.05413.