The prismatization of p-adic formal schemes

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August undefined, 2024

Webb16 jan. 2024 · The prismatization of $p$-adic formal schemes B. Bhatt, J. Lurie Published 16 January 2024 Mathematics In this note, we introduce and study the Cartier–Witt … WebbFor bad reduction curves, there are two notions of $p$-adic integration: Berkovich–Coleman integrals, which can be performed locally, and abelian integrals with …

The prismatization of $p$-adic formal schemes - Semantic Scholar

WebbPRISMATIZATION VLADIMIR DRINFELD Abstract. The goal is to construct three related “prismatization” functors from the cate-gory of p-adic formal schemes to that of formal … Webb28 mars 2024 · We show that the classification of p-divisible groups by Breuil windows and the classification of finite flat group schemes of p-power order by Breuil modules hold over any complete regular local ... how to show divorce in family tree

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Webb30 mars 2024 · The prismatization of $p$-adic formal schemes B. Bhatt, J. Lurie Mathematics 2024 In this note, we introduce and study the Cartier–Witt stack WCartX attached to a padic formal scheme X as well as some variants. In particular, we reinterpret the notion of prismatic crystals on X… Expand 15 PDF Absolute prismatic cohomology B. … Webbof a p-adic formal scheme Xsatisfying certain technical conditions). The key observation 3. ... p; its prismatization, called Σ or WCart, can be deﬁned quite explicitly and is studied in depth in [1] and [4]. Roughly speaking, we can think of Σ as the stack sending a p-nilpotent ring Rto the set of prism Webbtask dataset model metric name metric value global rank remove how to show division

The prismatization of p-adic formal schemes

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Webb24 feb. 2024 · The prismatization of p-adic formal schemes. arXiv preprint arXiv:2201.06124, 2024. Integral p-adic Hodge theory. Publications mathématiques de l'IHÉS Jan 2024 219-397 Bhargav Bhatt Matthew... WebbIn particular, the definition and basic properties of the key object of this study in this paper — the prismatization WCart X of a bounded p-adic formal scheme X — rely critically on …

WebbIn this article we define and study the three versions of the prismatization of the formal spectrum of the ring of p-adic integers. The goal is to construct three related … WebbPRISMATIZATION S. K. DEVALAPURKAR In this talk, we will review the filteredprismatization ZN pof Z . It turns out to be conceptually easier to understand the filtered prismatizationGN aof G , which (as a by-product) tells us what ZN ... Definition 1.4.Let Xbe a bounded p-adic formal scheme.

WebbThe goal is to construct three related "prismatization" functors from the category of p-adic formal schemes to that of formal stacks. This should provide a good category of coefficients for prismatic cohomology in the spirit of F-gauges. In this article we define and study the three versions of the prismatization of the formal spectrum of the ring of p … Webb16 jan. 2024 · The prismatization of. -adic formal schemes. Bhargav Bhatt, Jacob Lurie. (Submitted on 16 Jan 2024) In this note, we introduce and study the Cartier--Witt stack attached to a -adic formal scheme as well as some variants. In particular, we reinterpret the notion of prismatic crystals on and their cohomology in terms of quasicoherent sheaf …

WebbIn this section, we assumeK=K0, consider ap-adic smooth formal scheme Xover Spf(OK) endowed with the log structureMdeﬁned by a divisorDwith relative normal crossings and explain the local description of ﬁltered convergent F-isocrystals on (X;M) in terms of modules with connections.

Webb16 jan. 2024 · The goal of this paper is to study the absolute prismatic cohomology of $p$-adic formal schemes. We do so by recasting the notion of a prismatic crystal on … how to show division symbol in wordWebba formal scheme, or for making geometric constructions involving formal schemes. As simple examples: the notion of a locally Noetherian formal scheme rests on having such ring-based models for the local structure of formal schemes, as does the notion of a p-adic formal scheme being at over Z p, and the construction of the at part of a p-adic ... how to show divorce on pedigreeWebb24 feb. 2024 · The p-adic Simpson correspondence, recently initiated by Gerd Faltings, aims at describing all p-adic representations of the fundamental group of a proper … how to show divorce on family treeWebb29 jan. 2024 · Prismatization over Z 29 Jan 2024 · Lance Gurney · Edit social preview The aim of this article is to given an extension of the prismatization functor for p -adic formal schemes (whose construction was first sketched by Drinfeld and then given by Bhatt-Lurie) to all schemes over S p e c ( Z). nottingham trent university constructionWebbBhatt-Lurie, The prismatization of p -adic formal schemes Self-promotion A slice refinement of Bökstedt periodicity §3.1 and §3.3 are elementary + have nice exposition; argues that prisms are natural from the POV of (genuine) equivariant homotopy theory nottingham trent university company numberWebbBhatt-Lurie, The prismatization of $p$-adic formal schemes Self-promotion A slice refinement of Bökstedt periodicity §3.1 and §3.3 are elementary + have nice exposition; … how to show django msg without reload pageWebbWe then prove some basic properties of this extension (algebraicity, flatness for syntomic morphisms, perfectness of cohomology) and show that for smooth schemes over $\mathbf{Q}$ this construction recovers (a version of) the filtered de Rham stack. nottingham trent university criminology