Geometric aspects of p-adic hodge theory

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August undefined, 2024

WebNov 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 … 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 ...

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WebMay 17, 2013 · -ADIC HODGE THEORY FOR RIGID-ANALYTIC VARIETIES - Volume 1. ... Survey on some aspects of Lefschetz theorems in algebraic geometry. Revista … 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 … rock the bells event

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

Geometric aspects of p-adic Hodge theory - lccs

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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. 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 rock the bells clothing lineWebGEOMETRIC 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 … rock the bells clothing

"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 … " - Geometric aspects of p-adic hodge theory

Geometric aspects of p-adic hodge theory

Modulispacesin p-adicnon-abelianHodgetheory - arXiv

WebSep 1, 2015 · This program focuses on different aspects of Hodge theory, their applications in algebraic geometry and related areas and, very importantly, on their interactions. We plan to cover the following four themes: (1) p-adic Hodge theory and arithmetic geometry (2) mixed Hodge modules and their applications WebMy work predominantly explores the p -adic and geometric aspects of the Langlands program and is highly interdisciplinary, involving number theory, arithmetic geometry, algebraic geometry, p -adic analytic geometry, D -module theory, p -adic Hodge theory, motive theory and higher category theory. p-adic Automorphic Forms. A. Paulin.

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WebJan 13, 2024 · Geometric and Representation Theoretic Aspects of -adic Motives Xin Tong In this dissertation, we discuss mainly the corresponding geometric and representation … WebJun 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)

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 … 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 …

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

WebInstructors. 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.

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 … ottawa hospital breast imagingWebJun 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. rock the bells cruise 2023 lineupWebThe 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 … rock the bells festWebMAT 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 … rock the bells festival 2021 lineupWebIn 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. ottawa hospital careers opportunitiesWeb3. 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 ... ottawa hospital decision aidsWebP-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 ... rock the bells concert 2022