Notes on p-adic hodge theory

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August undefined, 2024

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. (2)Change base eld to Qdun p. Since Qun p is not p-adically complete any more, we need to work with Qdun p … WebThe initial motivation of p-adic Hodge theory is the will to design a relevant p-adic analogue of the notion of periods. To this end, our ﬁrst need is to ﬁnd a suitable p-adic generalization of the isomorphism (1). In the p-adic setting, the singular cohomology is no longer relevant; it has to be replaced by the etale cohomology.

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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: 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 … bronze bull pendant pathfinder 2e

P-Adic Hodge Theory (Math 679) - DocsLib

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 … 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. Webp (Γ K). Proof. Let V and W be B-admissible representations. Suppose that f∈Hom Q p [Γ K](V,W) induces a zero map D B(V) →D B(W). Then f induces a zero map V⊗ Q p B→W⊗ Q p Bby Theorem 1.1, which means that fmust be a zero map. We thus find that the functorD B is faithful on RepB Q p (Γ K). It remains to verify that D Bis exact on ... cardiologists iron mountain mi

p-adic Hodge Theory (Spring 2024): Week 8

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 http://www-personal.umich.edu/~ahorawa/math_679_p-adic_Hodge.pdf cardiologists ipswichWebISpeci 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 … cardiologists in west chester pa

"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 " - Notes on p-adic hodge theory

Notes on p-adic hodge theory

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

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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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 … 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.

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. 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

WebSome 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 … 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. …

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.

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. cardiologists in virginia beach vahttp://math.stanford.edu/~conrad/ cardiologists in windsor ontarioWebINTEGRAL 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]. cardiologists john flynn hospitalWebHodge 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 ... bronze bull mythWebPREPARTORY 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 … bronze bush bar manufacturers taiwanWebOur 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 … bronze bushing 5/8 id x 7/8 odWebApplications 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. cardiologists in windham ct