Notes on p-adic hodge theory
http://math.stanford.edu/~conrad/papers/notes.pdf 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. un (2) Change base field to Qdp . un un Since Qp is not p-adically complete …
Notes on p-adic hodge theory
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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. 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 …
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 …
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 … 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 …
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 …
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… portland or wedding reception venuesWebISpeci 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 … optimal solar panel roof pitchWebWe 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, … portland or weather snowWebAN 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. optimal sonos speaker placementWebp+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. portland or wedding photographersWebApr 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. optimal spark plug colorWebAN 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 … portland or white pages directory