Notes on p-adic hodge theory

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August undefined, 2024

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 … WebNov 10, 2024 · Anyway there are many introductory notes on p -adic Hodge theory, written by various specialists of the topic, usually available on their websites. These are a good resource. Note however that you probably cannot avoid some sort of notion in differential geometry. E.g. you will have difficulty building intuition about de Rham representations.

INTEGRAL p-ADIC HODGE THEORY, ALKT 7 (BREUIL KISIN

WebAug 2, 2016 · Notes on the A_inf-cohomology of Integral p-adic Hodge theory M. Morrow Published 2 August 2016 Mathematics arXiv: Algebraic Geometry 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. http://math.stanford.edu/~conrad/papers/notes.pdf asos sukienki petite

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

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: 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 … 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 … asos sukienki na wesele

Notes on p-adic hodge theory

AN INTRODUCTION TO p-ADIC HODGE THEORY - u …

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 WebIn this volume, Perrin-Riou presents a theory of p-adic L-functions coming directly from p-adic Galois representations (or, more generally, from motives). This theory encompasses, in particular, a construction of the module of p-adic L-functions via the arithmetic theory and a conjectural deﬁnition of the p-adic L-function via its special values.

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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. WebAug 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 …

WebMath 847: p-adic Hodge Theory. One of the central aims of modern algebraic number theory is to understand the absolute Galois group G of the rational numbers. The main approach … WebClassical 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 …

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 … 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.

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…

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 lakeuden osuuspankki kokkolaWebIn the proof of many known cases (especially in work of Kisin), p-adic Hodge theory 3 Of course, we will also discuss crystalline representations and Hodge-Tate representations 4 Note that Taniyama-Shimura conjecture is the only the special case of Conjecture 1.5 for lakeuden portti lehtiWebThe 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 … lakeuden portti kansalaisopistoWebINTEGRAL 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]. asos swiss rain jacketWebWe 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, … lakeuden portti 5/2023Webp-adic Hodge theory serves as an essential ingredient. Our switch in notation hopefully emphasizes this point without causing too much confusion. Part 1. The proof by Faltings Notations (for Faltings’s proof). K=Q denotes a number eld. Salways denotes a nite set of places of K, and is often assumed to contain all lakeuden risti kirkkoWebDownload 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. lakeuden ristin kirkko