Faltings p-adic hodge theory
Web1. A rst glimpse of p-adic Hodge theory Our goal in this section is to give a rough idea of what p-adic Hodge theory is about. By nature, p-adic Hodge theory has two sides of the story, namely the arithmetic side and the geometric side. We will brie y motivate and describe each side of the story, and discuss how the two sides are related. 1.1. http://www.math.ntu.edu.tw/~dragon/Research%20papers/padic-hodge-v2.pdf
Faltings p-adic hodge theory
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WebFeb 24, 2024 · Though this topos is the general framework for Faltings' approach in p-adic Hodge theory, it remains relatively unexplored. The authors present a new approach based on a generalization of P ... WebThe aim of this note is to present a proof of the equivalence of Hodge numbers along the original line using p-adic integral and the Weil con-jecture. This was announced with a sketched proof in [12]. The new input needed here is the so-called p-adic Hodge Theory developed by Fontaine and Messing [6] and completed by Faltings [5]. It turns out
Webisomorphic over K to the p-adic completion of K, and K coincides with the Gal (Ky/0-invariant part of B dR. (1.2) We review the de Rham conjecture of Fontaine [F0] proved by Fontaine and Messing [FM] under certain assumptions and by Faltings [FαJ in general. Let X be a smooth proper scheme over K. Then, on one hand, we have the p-adic etale ... WebFeb 9, 2016 · The p-adic Simpson correspondence, recently initiated by Gerd Faltings, aims at describing all p-adic representations of the fundamental group of a proper …
WebThe general themes of p-adic Hodge theory are: (1)To construct a dictionary between certain p-adic representations and certain semilin-ear algebraic objects. (2)Change … Subjects: Group Theory (math.GR); Combinatorics (math.CO); Metric …
Webone key technical ingredient in Faltings’ approach to p-adic Hodge theory, and we follow many of his ideas in this paper. Roughly, the role of the almost purity theorem is to show that one loses ... p-adic Hodge theory for rigid-analytic varieties 5 Let us remark at this point that the form of this correspondence indicates
Webp-adic Hodge theory is a p-adic counterpart of classical Hodge theory: it studies the natural structures found on the cohomology of algebraic varieties over a p-adic field. … scallops in white wine lemon butter sauceWebTour Start here for a quick overview of the site Help Center Detailed answers to any questions you might have Meta Discuss the workings and policies of this site scallops inches for dressesWebThe general themes of p-adic Hodge theory are: 1.To construct a dictionary between certain p-adic representations and certain semilinear algebraic objects. 2.Change base … scallops in white wine garlic sauceWebone key technical ingredient in Faltings’ approach to p-adic Hodge theory, and we follow many of his ideas in this paper. Roughly, the role of the almost purity theorem is to show … scallops instant pot shellWebJan 21, 2024 · An early result in p p-adic Hodge theory is the Hodge-Tate decomposition, which is a p p-adic analogue of the Hodge decomposition in classical Hodge theory. Let X X be a smooth projective variety over ℚ p \mathbb{Q}_{p} (or more generally some finite extension of it). Let ℂ p \mathbb{C}_{p} be the p-adic complex numbers. Then we have say why in frenchWebAbstract. Faltings’ approach in p-adic Hodge theory can be schematically divided into two main steps: firstly, a local reduction of the computation of the p-adic ´etale cohomology of a smooth variety over a p-adic local field to a Galois cohomology computation and then, the establishment of a link between the latter and differential forms. scallops informationWebThe general themes of p-adic Hodge theory are: 1.To construct a dictionary between certain p-adic representations and certain semilinear algebraic objects. 2.Change base field toQdun p. Since Qun p is not p-adically complete any more, we need to work with Qdun p instead. Many interesting properties of p-adic representatios are encoded in the ... scallops in white wine sauce