Faltings p-adic hodge theory
WebThe 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 … WebOct 21, 2024 · The p-adic Simpson correspondence due to Faltings is a p-adic analogue of non-abelian Hodge theory. The following is the main result of this article: The correspondence for line bundles is rigid analytic under suitable conditions by viewing the moduli spaces of both sides as points of rigid analytic spaces. In the complex setting, …
Faltings p-adic hodge theory
Did you know?
WebMar 6, 2024 · View source. In mathematics, p-adic Hodge theory is a theory that provides a way to classify and study p -adic Galois representations of characteristic 0 local fields … WebApr 28, 2024 · Inspired by the complex theory developed by Simpson and others giving a correspondence between complex local systems and Higgs fields on algebraic varieties over C, Faltings proposed in 2005 an analogue in the 𝑝-adic context using 𝑝-adic Hodge theory. Gerd Faltings (A 𝑝-adic Simpson Correspondence) and Ahmed Abbes (Local Structure of ...
http://www.mcm.ac.cn/events/seminars/202409/t20240901_599709.html WebApr 7, 2024 · Abstract: 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 étale 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 ...
WebAbstract. 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 … WebThe 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 ...
WebThe last part of the volume contains results of wider interest in p-adic Hodge theory. The reader will find a concise introduction to Faltings' theory of almost étale extensions and …
WebAbout this book. This book develops thorough and complete foundations for the method of almost etale extensions, which is at the basis of Faltings' approach to p-adic Hodge theory. The central notion is that of an … lightpointWebone 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 lightovation january 2022WebAbstract. 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. light pink hello kitty hoodieWebp. -adic Period Mappings (after Lawrence and Venkatesh) (Fall 2024) The goal of this seminar is to go over the recent proof of Faltings's theorem by Lawrence and Venkatesh … light pollution map pennsylvaniaThe general strategy of p-adic Hodge theory, introduced by Fontaine, is to construct certain so-called period rings such as BdR, Bst, Bcris, and BHT which have both an action by GK and some linear algebraic structure and to consider so-called Dieudonné modules (where B is a period ring, and V is a p-adic representation) which no longer have a GK-action, but are endowed with linear algebraic structures inherited from the ring B. In particular, they are vec… lightshot kuyhaaWebPDF - p-adic Hodge theory. PDF - This article is published in Journal of the American Mathematical Society.The article was published on 1988-01-01 and is currently open … baystar joint ventureWebp-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. … bay skin la jolla