Notes on p-adic hodge theory

WebThe 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 … 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.

PREPARTORY NOTES ON p-ADIC HODGE 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. 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 … high coast lite trousers https://floridacottonco.com

p-adic Hodge theory in nLab

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. http://math.stanford.edu/~conrad/ 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 high coast lite trousers women

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Notes on p-adic hodge theory

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http://www-personal.umich.edu/~serinh/Notes%20on%20p-adic%20Hodge%20theory.pdf 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…

Notes on p-adic hodge theory

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WebHodge 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 ... WebAug 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 …

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 ... 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 …

http://www-personal.umich.edu/~ahorawa/math_679_p-adic_Hodge.pdf 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 …

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 …

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. how far is wolfville from halifaxWebAN 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. high coast hydratic trousers mWebOur 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 … high coast radioWebFor 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 how far is wolcott ny from oswego nyWebINTRODUCTION 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 … high coast pocket bagWebINTEGRAL 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 high coast lite jacketWeb1. 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 high coast solera 02