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Geometric aspects of p-adic hodge theory

WebApr 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 ... WebMAT 549 Topics in Algebra: Geometric Aspects of p-adic Hodge Theory This course covers some recent work on recasting concepts in p-adic Hodge theory in the language …

Geometric and Representation Theoretic Aspects of $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 … WebIntegral 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. 197 1 [IAS] Mixed Hodge theory and works of Takuro Mochizuki. 微小的公开课. … sharing disney+ https://ridgewoodinv.com

GEOMETRIC DESCRIPTION OF PERIOD RINGS

WebDec 22, 2014 · One type of application of p-adic Hodge theory, including some integral Hodge theory, which gives crisp statements is to the study of smooth projective … WebMar 6, 2024 · In 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 (such as Q p).The theory has its beginnings in Jean-Pierre Serre and John Tate's study of Tate modules of abelian varieties and the notion of Hodge–Tate … Web“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 … sharing display on windows 10

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Category:Lecture Notes on: The Intrinsic Hodge Theory of p-adic …

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Geometric aspects of p-adic hodge theory

Geometric aspects of p-adic Hodge theory - lccs

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 …

Geometric aspects of p-adic hodge theory

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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… 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.

WebAug 31, 2024 · Geometric aspects of p-adic Hodge theory; Bloch-Kato conjectures for some polarized motives; Langlands correspondence for general reductive groups over function fields; Perverse sheaves and … WebIn particular I am studying how the new geometric reformulation of p-adic Hodge theory by Fargues and Fontaine is related to the correspondence. The third branch of my research involves the p-adic aspects of the geometric Langlands program. This is a geometric reformulation of Langlands’ original ideas, so they are applicable

WebAug 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 … http://math.stanford.edu/~conrad/

WebMar 21, 2010 · Using p-adic analysis, Dwork was the first to prove the rationality of the zeta function of a variety over a finite field. From what I have seen, in algebraic geometry, this method is not used much and Grothendieck's methods are used instead. Is this because it is felt that Dwork's method is not general or powerful enough; for example, Deligne ...

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 … sharingd keychainWeb1.2 Moduli spaces in p-adic non-abelian Hodge theory In order to define p-adic analytic moduli spaces of v-topological G-torsors and G-Higgs bundles on X, we need some technical foundations to formulate relative p-adic Hodge theory. For this we introduce and study a new class of perfectoid families of smooth rigid spaces: Definition 1.3. poppy play tam chapter 2WebIn 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. poppy play some musicWebTo 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, … sharing division worksheetWebThe 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 … poppy plant leaf identificationWebMay 8, 2024 · A p-Adic 6-Functor Formalism in Rigid-Analytic Geometry Using the recently developed condensed mathematics by Clausen-Scholze we construct a full p-adic 6 … poppy plant in hindihttp://math.columbia.edu/~chaoli/doc/BhattEilenberg.html sharing division