The prismatization of p-adic formal schemes
WebbWe 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. WebbThe main theorem of this article is that we can recover p-adic prismatization and p-adic prismatic cohomology from the integral prismatization and integral prismatic …
The prismatization of p-adic formal schemes
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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 … WebbVladimir Drinfeld, Prismatization. Major references for the last few lectures will be updated later. ... The de Rham cohomology of p-adic formal schemes [Bhatt, §2.5-2.6] Lecture 4 : March 13th : Shizhang : The conjugate filtration [Bhatt, §2.7-2.8] Lecture 5 : …
WebbThe goal of this article is to study some basic algebraic and combinatorial properties of"generalized $n$-series"over a commutative ring $R$, which are functions $s ... Webba 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 ...
WebbTHE PRISMATIZATION OF p-ADIC FORMAL SCHEMES 3 site of X(Proposition 8.15), and this equivalence is compatible with pushforwards under relatively mild assumptions … WebbBhatt-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; …
Webb10 maj 2024 · In 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 (2-3:30 pm, MCM 110) 丘成桐数学科学中心 ... Title: The de Rham cohomology of p-adic formal schemes. Speaker: Shizhang Li (MCM) Date: February 27. Time: 2-3:30 pm. Venue: MCM 110. Title: The de Rham cohomology in characteristic 0. Speaker: Yupeng Wang (MCM) phls mortgage servicesWebb10 feb. 2024 · The F-smoothness of regular schemes leads to new results on the absolute prismatic cohomology of regular schemes. Abstract The primary goal of this paper is to … phl-sm2023-vwrWebb24 aug. 2024 · Then, a p -adic formal scheme means a formal scheme X together with (a necessarily unique) adic morphism X → S p f ( Z p). For any scheme X → S p e c ( Z p) … tsuchiya actressWebbPAPERS (ALL AVAILABLE ON THE ARXIV UNLESS OTHERWISE SPECIFIED) 53. Syntomic complexes and p-adic ´etale Tate twists (with A. Mathew) 52. The prismatization of p-adic formal schemes (with J. Lurie) 51. Absolute prismatic cohomology (with J. Lurie) 50. Algebraic geometry in mixed characteristic For the Proceedings of the ICM 2024. 49. tsuchiya automotive systemsWebbThe prismatization of $p$-adic formal schemes. In this note, we introduce and study the Cartier--Witt stack $\mathrm {WCart}_X$ attached to a $p$-adic formal scheme $X$ as … tsuchiya cecilyWebb"The prismatization of p-adic formal schemes." arXiv preprint arXiv:2201.06124 (2024). [3] Bhargav Bhatt and Peter Scholze. "Prisms and prismatic cohomology." ... As we've … tsuchiya ae86 specsWebb10 maj 2024 · In this article we define and study the three versions of the prismatization of the formal spectrum of the ring of p-adic integers.read more PDFAbstract Code Edit AddRemoveMark official No code implementations yet. your code now tsuchiya composer