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… 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].

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

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 … 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. simps in anime

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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. 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, … 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. simps in galveston

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

-adic Hodge theory - University of Chicago

http://math.stanford.edu/~conrad/papers/notes.pdf 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 … simpsinnsrewards.comWebp+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. razer chroma keyboard colors

"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: " - Notes on p-adic hodge theory

Notes on p-adic hodge theory

Notes on the A_inf-cohomology of Integral 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. 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. 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.

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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. 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

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. 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 · 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. 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 …

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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 … simpsinns careershttp://www-personal.umich.edu/~serinh/Notes%20on%20p-adic%20Hodge%20theory.pdf razer chroma google homeWebThe 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 … razer chroma keyboard custom effectsWebAug 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 … razerchroma keyboard connectionhttp://math.stanford.edu/~conrad/ simpsity forumWebSome 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 … razer chroma keyboard dauntlessWebStanford University razer chroma keyboard cool profiles