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Notes on 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]. http://math.stanford.edu/~conrad/papers/notes.pdf

NOTES ON p-ADIC HODGE THEORETIC APPROACH …

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 … 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. crystalotl dq11 https://kaiserconsultants.net

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

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 … Web1. A working knowledge of the main techniques/results in p-adic Hodge theory 2. Familiarity with the semilinear algebra objects appearing in the theory 3. An understanding of the connections to important problems in algebraic number theory . Schedule: Weeks 1-4: Introduction to Fontaine’s theory, Hodge -Tate and De Rham theory 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. crystal ottinger cocke county tn mayor

AN INTRODUCTION TO p-ADIC HODGE THEORY

Category:Math 847: p-adic Hodge Theory - University of Arizona

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Notes on p-adic hodge theory

P-Adic Hodge Theory (Math 679) - DocsLib

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 WebStanford University

Notes on p-adic hodge theory

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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 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 …

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 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:

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 … 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

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 …

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 … crystal otteman winfield ilWebNov 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. crystal o\\u0027heronWebWe 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… crystal ott pour windowsWebOur 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 … dy84faWebThe 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 … dy7inWebPREPARTORY 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 … crystalottprohttp://www-personal.umich.edu/~ahorawa/math_679_p-adic_Hodge.pdf crystal o\u0027connor and the whiskey rebels