Notes on p-adic hodge theory

Author: xrwo

August undefined, 2024

WebAug 2, 2016 · Notes on the A_inf-cohomology of Integral p-adic Hodge theory. We present a detailed overview of the construction of the A_inf-cohomology theory from the preprint … 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 …

p-adic Hodge Theory - Google Books

Webp-adic Hodge Theory (Spring 2024): Week 8 Xiaorun Wu ([email protected]) March 23, 2024 This week: Generic Fibers of p-divisble groups 1 Generic Fibres of p … WebIn 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 … csec english b past paper solutions

Axioms Special Issue : p-adic Analysis and q-Calculus with Their ...

http://math.stanford.edu/~conrad/papers/notes.pdf Webp-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 WebApr 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. csec english b paper 1 2019 answers

p-adic Hodge Theory (Spring 2024): Week 5

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 … 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 … csec english literature syllabusWebHodge 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 ... csec english letter format

"WebApr 11, 2024 · We establish a connection between continuous K-theory and integral cohomology of rigid spaces. Given a rigid analytic space over a complete discretely valued field, its continuous K-groups vanish in degrees below the negative of the dimension. Likewise, the cohomology groups vanish in degrees above the dimension. The main result … " - Notes on p-adic hodge theory

Notes on p-adic hodge theory

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. 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.

Did you know?

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 … 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 …

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 … WebPREPARTORY NOTES ON p-ADIC HODGE THEORY OLIVIER BRINON AND BRIAN CONRAD Everyone should learn the basic formalism of Witt vectors before arriving in Hawaii. A …

WebAN INTRODUCTION TO THE THEORY OF p-ADIC REPRESENTATIONS 5 I.2.2. Deﬁnitions. — A p-adic representation V of GK is a ﬁnite dimensional Qp-vector space with a continuous linear action of GK. The dimension of V as a Qp-vector space will always be denoted by d. Here are some examples of p-adic representations: 1. 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 …

WebIn 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

WebJan 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. … csec english multiple choice answersWebThe 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 … csec english a paper 3WebINTEGRAL 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]. csec english paper 3WebApr 11, 2024 · Notes on p-adic Hodge theory. Serin Hong; Mathematics. 2024; 31. PDF. Save. Alert. Moduli Stacks of Étale (ϕ, Γ)-Modules and the Existence of Crystalline Lifts. M. Emerton, Toby Gee; Mathematics. 2024; We construct stacks which algebraize Mazur’s formal deformation rings of local Galois representations. csec english b paper 1 jan 2021Weba 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. csec english language paper 1 answersWebThe 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 … csec english paper 1 answer sheetWebNov 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. cse center shop