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Absolute prismatic cohomology SemesterWiSe 2022 / 23 Lecturer Marc Hoyois, Denis Nardin Type of course (Veranstaltungsart) Oberseminar German title Absolute prismatische Kohomologie Contents Absolute prismatic cohomology is a cohomology theory for p-adic formal schemes developed by Bhatt and Lurie, following the introduction of the prismatic site by Bhatt and Scholze. Roughly speaking, this theory serves as a bridge between the crystalline cohomology of the special fiber and the étale cohomology of the generic fiber. It also leads to a general definition of syntomic cohomology with p-adic coefficients, and ultimately of motivic cohomology with integral coefficients, of arbitrary (derived) schemes. In this seminar we will learn absolute prismatic cohomology via the (essentially self-contained) article by Bhatt and Lurie. We will in particular review the definitions of prisms and relative prismatic cohomology and learn about the Cartier-Witt stack, absolute prismatic cohomology, the Nygaard filtration and the syntomic cohomology of formal schemes and of schemes. Literature B. Bhatt and J. Lurie, Absolute prismatic cohomology Time/Date Wed 16-18 Location tbd and online Course homepage https://hoyois.app.uni-regensburg.de/WS23/prismatic/index.html (Disclaimer: Dieser Link wurde automatisch erzeugt und ist evtl. extern) Registration
MV, MSem ECTS 4,5 |