Geometric aspects of p-adic hodge theory

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August undefined, 2024

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. … WebP-adic methods in number theory and algebraic geometry / Alan Adolphson, Steven Sperber, Marvin Tretkoff, editors. ... P-adic Hodge theory / Published: (2024) Geometric aspects of Dwork theory / Published: (2004) p-adic numbers an introduction / by: Gouvêa, Fernando Q. Published ...

The Picard Group of Vertex Affinoids in the First Drinfeld Covering

WebTopics in Algebra: Geometric Aspects of p-adic Hodge Theory MAT 549 Fall 2024 Instructors Bhargav B. Bhatt View additional details This course covers some recent … http://www-personal.umich.edu/~bhattb/teaching/prismatic-columbia/ milwaukee lights screwfix

𝑝-adic Hodge Theory (2024) - Simons Foundation

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 … 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, … 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. milwaukee lighting company

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WebMay 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 … WebIn the p-adic case, the IHT of an abelian variety essentially amounts to the p-adic Hodge theory of H1 of the abelian variety. Although the p-adic Hodge theory of H1 of an abelian variety has many diﬀerent aspects, most of these may be traced to the fundamental paper of Tate ([Tate]) in the late 1960’s. In this paper, the main theorem milwaukee line laser detector milwaukee light tower home depot

"Web1.2 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. " - Geometric aspects of p-adic hodge theory

Geometric aspects of p-adic hodge theory

Modulispacesin p-adicnon-abelianHodgetheory - arXiv

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

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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. WebJun 13, 2024 · 350 8. 3. You could look at Scholze's course, fixing the gaps along the way instead of learning them "bottom-up". – Z. M. Jun 13, 2024 at 7:41. 4. Dan Gulotta has given a course on p-adic Hodge theory a couple years ago, and he did cover aspects of the Fargues-Fontaine curve that you seem to be interested in.

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 … 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 …

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 … 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 …

Web2.Hodge-Tatedecompositionforabelianvarietieswithgoodreduction 3.Hodge-Tatedecompositioningenerale(pro-étalecohomology) 4.integralaspects …

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 ... milwaukee lighthouse usaWebJun 9, 2011 · An introduction to the theory of p-adic representations. In: Geometric Aspects of Dwork Theory, vol. I, II, pp. 255–292. Walter de Gruyter GmbH & Co. KG, Berlin (2004) Böckle G.: On the density of modular points in universal deformation spaces. ... Saito T.: Modular forms and p-adic Hodge theory. Invent. Math. 129(3), 607–620 (1997) milwaukee local timeWebGEOMETRIC 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 … milwaukee lightweight heated jacketWeb“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 … milwaukee long reach cordless ratchetWebMay 17, 2013 · -ADIC HODGE THEORY FOR RIGID-ANALYTIC VARIETIES - Volume 1. ... Survey on some aspects of Lefschetz theorems in algebraic geometry. Revista … milwaukee line trimmer shoulder strapWebInstructors. Bhargav B. Bhatt. View additional details. This course covers some recent work on recasting concepts in p-adic Hodge theory in the language of (derived) algebraic stacks, and then using this reformulation to better understand the former. milwaukee local news channel 12WebIn 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 … milwaukee long head ratchet