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Thomas Nikolaus: K-theory of Z/p^n and relative prismatic cohomology
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We will explain how to compute the K-theory of rings of the form Z/p^n. Central for this is the notion of a prism and of prismatic cohomology following Bhatt-Scholze. We will explain how to extend this notion to a more general setting and how to characterize it by a universal property (relative to so-called generaralized prisms, which are a higher categorical version of prisms).