Notes on p-adic hodge theory

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August undefined, 2024

WebWe construct a new cohomology theory for proper smooth (formal) schemes over the ring of integers of . It takes values in a mixed-characteristic analogue of Dieudonné modules, which was previously defined by Fargues as…

Notes on the A_inf-cohomology of Integral p-adic Hodge theory

WebNov 30, 2024 · This Special Issue focuses on the applications of the p-adic analysis and q-calculus to various fields of number theory that deal mainly with mathematical analysis of functions of p-adic numbers in mathematics and the theory of p-adic strings and quantum mechanics, and the theory of complex disordered systems-spin glasses in physics. 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 … flowers for pet loss

The Fargues-Fontaine Curve and p-Adic Hodge Theory

WebDownload or read book p-adic Hodge Theory written by Bhargav Bhatt and published by Springer Nature. This book was released on 2024-06-15 with total page 319 pages. … Webp-adic Hodge theoretic approach. More precisely, they use p-adic Hodge theory to construct a p-adic period map, which encodes the variation of p-adic Galois representations in a … WebOur 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 … flowers for outside window boxes

An Introduction to p-Adic Hodge Theory SpringerLink

-adic Hodge theory - University of Chicago

WebApr 1, 2024 · The proof uses p-adic Simpson and Riemann–Hilbert correspondences of Diao, Lan, Liu, and Zhu and the Sen operator on the decompletions of those developed by Shimizu. Along the way, we observe that a p-adic local system on a smooth geometrically connected algebraic variety over K is Hodge–Tate if its stalk at one closed point is a … WebHodge theory 10是Hodge theory的第10集视频，该合集共计20集，视频收藏或关注UP主，及时了解更多相关视频内容。 ... Integral p adic Hodge theory. shtuka. 2319 1 Geometric measure theory and calculus of variations: theory and applications. Ricci_Flow. 2034 0 The Hodge Conjecture. Galois-Deligne ... flowers for passing of petWebOne of the goals of p-adic Hodge theory is to prove similar results in the case where Cis replaced instead by a p-adic ﬁeld F. Let’s ﬁrst try to formulate an appropriate setting for … flowers for persian new year

"WebINTEGRAL p-ADIC HODGE THEORY, ALKT 7 (BREUIL KISIN MODULES) TOBY GEE (NOTES BY JAMES NEWTON) 1. Introduction This talk is going to discuss section 4.1 of [2]. ... Note that each localisation A p is a dvr. Now you can check that, for M torsion free, we get M = T pht 1 M and M = T p ht 1 M p. It follows that Mis re exive if and only if M= T " - Notes on p-adic hodge theory

Notes on p-adic hodge theory

Notes on the A_inf-cohomology of Integral p-adic Hodge theory

WebINTEGRAL P-ADIC HODGE THEORY, TALK 2 (PERFECTOID RINGS, A inf AND THE PRO-ÉTALE SITE) POL VAN HOFTEN (NOTES BY JAMES NEWTON) 1. Witt vectors, A inf and integral perfectoid rings The ﬁrst part of the talk will cover Witt vectors, A inf and integral perfectoid rings,followingsection3of[1]. WebFor instance, p-adic Hodge theory, which relates p-adic ´etale cohomology groups to de Rham cohomology is clearly a prime example of such a theory. In the case of ρX, however, because one is dealing with a highly nonabelian object such as ΔX, it is not immediately clear what the appropriate Hodge theory should be. One

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WebDownload or read book p-adic Hodge Theory written by Bhargav Bhatt and published by Springer Nature. This book was released on 2024-06-15 with total page 319 pages. Available in PDF, EPUB and Kindle. Book excerpt: This proceedings volume contains articles related to the research presented at the 2024 Simons Symposium on p-adic Hodge theory. WebThe proceedings volume is the first of three dedicated to p-adic Hodge theory related to the research presented at the 2024 Simons Symposium on p-adic Hodge theory. It features …

WebSome lecture notes on p -adic Hodge theory, from a course I taught with Olivier Brinon at the 2009 CMI summer school on Galois representations. It is undergoing regular revision; not yet in final form (so corrections … Webconcise introduction to Faltings' theory of almost étale extensions and a chapter devoted to the Faltings topos. 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. Deligne's covanishing topos.

WebJan 21, 2024 · p-adic Hodge theoryis the study of properties of p-adic (étale, de Rham, logarithmic cristalline) cohomology(and motives) of non-archimedean analytic spaces. The pp-adic Hodge structure of a (proper or semi-stably compactified) p-adic analytic variety is essentially given by a relation between three important invariants of the given variety: WebAug 2, 2016 · Abstract: We present a detailed overview of the construction of the A_inf-cohomology theory from the preprint "Integral p-adic Hodge theory", joint with B. Bhatt …

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Weba p-adic field. Remark 2.3. The fraction field ofW(F p) is the p-adic completion of the maximal unramified extension of Q p. Hence it is a p-adic field which is not an algebraic extension ofQ p. For the rest of this week, let Kbe p-adic field with abosolute Galois group Γ K. Let m, kbe maximum ideal/residue field ofO K. flowers for part shade part sunWebp+q=n V p;qsuch that Vp;q= Vq;p. The Hodge decomposition is proved using transcendental methods (such as the use of a K¨ahler metric). More generally, such a decomposition holds for compact K¨ahler manifolds. One of the goals of p-adic Hodge theory is to prove similar results in the case where Cis replaced instead by a p-adic ﬁeld F. flowers for planting in potsWebJan 21, 2024 · p-adic Hodge theory is the study of properties of p-adic (étale, de Rham, logarithmic cristalline) cohomology (and motives) of non-archimedean analytic spaces. … flowers for pentecost sundayhttp://www-personal.umich.edu/~ahorawa/math_679_p-adic_Hodge.pdf flowers for pisces womanWebThe 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 base eld to Qdun p. Since Qun p is not p-adically complete any more, we need to work with Qdun p … flowers for parents of bride and groomWebThe initial motivation of p-adic Hodge theory is the will to design a relevant p-adic analogue of the notion of periods. To this end, our ﬁrst need is to ﬁnd a suitable p-adic generalization of the isomorphism (1). In the p-adic setting, the singular cohomology is no longer relevant; it has to be replaced by the etale cohomology. green base foundationWebApr 21, 2024 · The construction of X and the study of its properties intrinsically belong to p -adic Hodge theory. They provide a geometric set-up for Fontaine’s rings of periods and the relations between them. flowers for part shade garden