Notes on p-adic hodge theory

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August undefined, 2024

Web作者：Minhyong Kim 出版社：Cambridge University Press 出版时间：2014-10-00 印刷时间：0000-00-00 页数：390 ISBN：9781107693630 ，购买现货 Automorphic Forms and Galois Representations: Volume 2 (London Mathematical Society Lecture Note Series, Series Number 415) [9781107693630]等外文旧书相关商品，欢迎您到孔夫子旧书网 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

An introduction to -adic period rings

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… citilink cetak e ticket

p-adic Hodge theory in nLab

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 ... 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 … http://www-personal.umich.edu/~ahorawa/math_679_p-adic_Hodge.pdf citilink cek in online

NOTES ON p-ADIC HODGE THEORETIC APPROACH …

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WebINTRODUCTION TO p-ADIC HODGE THEORY 3 plays a cental technical role. Here we cite one of the most recent results from Kisin5 which depends on the known case of p-adic … WebJun 15, 2024 · This proceedings volume contains articles related to the research presented at the 2024 Simons Symposium on p-adic Hodge theory. This symposium was focused on recent developments in p-adic Hodge theory, especially those concerning integral questions and their connections to notions in algebraic topology. This volume features original … citilink cek bookingWebJan 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: citilink cgk terminal

"WebOne 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 … " - Notes on p-adic hodge theory

Notes on 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. WebAN INTRODUCTION TO p-ADIC HODGE THEORY DENIS BENOIS Abstract.These notes provide an introduction to p-adic Hodge theory. They are based on the series of lectures …

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Webp+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. WebApplications include a new proof of cdh-descent for homotopy K-theory of stacks (Hoyois-Krishna) and new cases of Blanc's lattice conjecture in noncommutative Hodge theory (ala Katzarkov-Kontsevich-Pantev). Time permitting, I will speak about vistas, including the (equivariant) K-theory of the equivariant sphere and p-adic Hodge theory for stacks.

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 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. un (2) Change base ﬁeld to Qdp . un un Since Qp is not p-adically complete …

WebISpeci cally, the use of Hodge theory to study moduli requires using geometric constructions arising from Hodge theory, frequently some type of Torelli property, either for the variety … 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. …

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.

WebOct 5, 2014 · Vector bundles on curves and p-adic Hodge theory; By Laurent Fargues, Institut de Mathématiques de Jussieu, Paris, Jean-Marc Fontaine, Université Paris Sud Edited by Fred Diamond, King's College London, Payman L. Kassaei, King's College London, Minhyong Kim, University of Oxford; Book: Automorphic Forms and Galois Representations citilink butterworthWebAug 2, 2016 · Title: Notes on the A_inf-cohomology of Integral p-adic Hodge theory. Authors: Matthew Morrow. Download PDF 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 and P. Scholze. We focus particularly on the p-adic analogue of … diastasis recti in infantWebWe 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, … citilink cityofws.orgWebClassical Hodge theory studies the relation between singular and de Rham cohomology for complex algebraic varieties. By analogy, p-adic Hodge theory studies the relation between different cohomology theories for p-adic varieties (etale, de … diastasis recti in infants treatmentWebThe 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 … diastasis recti in kidsWebIn 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 with residual characteristic p … citilink central station fort wayne inWebJan 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. … citilink charter