Geometric aspects of p-adic hodge theory
WebGEOMETRIC DESCRIPTION OF PERIOD RINGS GAL PORAT Abstract. These are notes which aim to give a short summary of the geometric description of some of the various period rings appearing in p-adic Hodge theory. For a more thorough discussion see Scholze and Weinstein’s Berkeley notes. Our notation … WebOct 12, 2002 · An introduction to the theory of p-adic representations Laurent Berger The purpose of this informal article is to introduce the reader to some of the objects and …
Geometric aspects of p-adic hodge theory
Did you know?
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 … WebIt relates to aspects of p-adic Hodge theory that previously had not seemed to be of a cohomological nature --- for example, Breuil--Kisin modules, which previously had not …
WebA similar theory can be developed for special values of elliptic or elliptic modular functions, and is called complex multiplication of such functions. In 1900 Hilbert proposed the generalization of these as the twelfth of his famous problems. In this book, Goro Shimura provides the most comprehensive generalizations of this type by stating ... WebAug 6, 2024 · Hodge theory is the study of properties of (complex, rational and integer) cohomology (and motives) of Kähler manifolds, induced by a Hodge filtration – given in …
WebTo be more precise, we study the corresponding analytic geometry of the corresponding spaces over and attached to period rings in the relative $p$-adic Hodge theory, … http://www.its.caltech.edu/~matilde/DubrovinVolumeSymposiaAMS.pdf
WebThe intrinsic Hodge theory of p-adic hyperbolic curves to be discussed in the rest of this lecture can be regarded as the generalization to the p -adic case of the physical and …
Web1. A rst glimpse of p-adic Hodge theory Our 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 the geometric side. We will brie y motivate and describe each side of the story, and discuss how the two sides are related. 1.1. foreclosure homes in atascocita forestWebAug 1, 1997 · Modular forms and p-adic Hodge theory. For a modular form, Deligne constructs an associated `-adic representation of the Galois group GQ Gal Q=Q . We show that it is compatible with the local Langlands correspondence at p ` in the sense of Fontaine using a result of Carayol for p 6 `. Let f be a Q`-valued elliptic new form of weight k 2 and … foreclosure homes in apopka flWebNov 18, 2024 · The goal of this work is to study some aspects of the geometry of the first cover Σ 1 in the Drinfeld tower over H dK the Drinfeld symmetric space over K a finite extension of Q p . ... 2024; Via the relative fundamental exact sequence of p-adic Hodge theory, we determine the geometric p-adic pro-étale cohomology of the Drinfeld … foreclosure homes in azWeb3. Geometric background for a p-adic replica argument The survey of the complex geometry aspects of the replica argument provided in the previous section shows that the main ingredients that are needed for con-structing a p-adic analog are A p-adic theory of cyclic orbifold coverings X nand uniformization. A p-adic analog of the period matrix ... foreclosure homes in bangaloreWebGeometric aspects of p-adic Hodge theory: Prismatic cohomology. Prismatic cohomology (Eilenberg Lectures at Columbia University) Time and location:11:40am - … foreclosure homes in baltimoreWebApr 1, 2024 · Abstract. We prove that any geometrically irreducible ¯¯¯¯Qp Q ‾ p -local system on a smooth algebraic variety over a p -adic field K becomes de Rham after a twist by a character of the Galois group of K. In particular, for any geometrically irreducible ¯¯¯¯Qp Q ‾ p -local system on a smooth variety over a number field the ... foreclosure homes in baltimore mdWeb“Geometric Aspects of p-adic Hodge Theory” Eilenberg Lecture notes; Fall 2024 Series Paul Seidel (Massachusetts Institute of Technology) “Automorphisms and Fibrations in Symplectic and Non-commutative … foreclosure homes in bayshore ny