Hodge theory notes

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August undefined, 2024

Nettetp-adic Hodge theory (Summer 2024) Instructor Daniel Gulotta Location and time Tuesday and Thursday 3:30pm-4:30pm, online. The password is the number of roots of unity in … NettetHodge{Tate decomposition 11 2.3. Formalism of Hodge{Tate representations 13 3. Etale ’-modules 20 3.1. p-torsion representations 21 3.2. Torsion and lattice representations 26 Date: April 15, 2009. B.C. was partially supported by NSF grants DMS-0600919 and DMS-0917686, and we are grateful to B. Cais, I. Ikeda, R. Schoof, and S. Unver for ...

[1412.8499] An Introduction to Hodge Structures - arXiv.org

NettetWe rst recall in more detail one of the comparison theorems from Hodge theory. Theorem 1.1.8 (Hodge decomposition). Let Y be a proper smooth variety over C. Then Hn(Y(C);C) ˘= M i+j=n Hi(Y; j Y): Corollary 1.1.9. The Hodge number of Y are topological invariants. Let C K = Kb. It has a continuous K-action. The p-adic cyclotomic character is ... Nettet1.1 Statement and consequences of the Hodge-Tate decomposition Fix a prime number p. The goal of this series is to explain the p-adic analog of the following classical result, which forms the starting point of Hodge theory. Theorem 1.1.1 (Hodge decomposition). Let X=C be a smooth proper variety. Then there exists a natural isomorphism Hn(Xan;C ... how to see autorecover files in word

AN INTRODUCTION TO p-ADIC HODGE THEORY - u-bordeaux.fr

NettetHODGE THEORY PETER S. PARK Abstract. This exposition of Hodge theory is a slightly retooled version of the author’s Harvard minor thesis, advised by Professor Joe Harris. Contents 1. Introduction 1 2. Hodge Theory of Compact Oriented Riemannian … http://home.ustc.edu.cn/~kyung/HodgeTheory.pdf Nettet31. jul. 2008 · These lecture notes in the De Rham-Hodge theory are designed for a 1-semester undergraduate course (in mathematics, physics, engineering, chemistry or biology). This landmark theory of the 20th … how to see automatic replies sent in outlook

HODGE THEORY - Harvard University

NettetStanford University NettetOur 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 … how to see available memoryNettetMATH 679: INTRODUCTION TO p-ADIC HODGE THEORY. LECTURES BY SERIN HONG; NOTES BY ALEKSANDER HORAWA. These are notes from Math 679 taught by Serin Hong in Winter 2024, LATEX’ed by Aleksander Horawa (who is the only person responsible for any mistakes that may be found in them). how to see availability in outlook email

"Nettet10. nov. 2024 · I would like to learn p-adic hodge theory, so I have searched for textbooks of p-adic hodge theory, but I wasn't able to find it except for books for specialists who already know a lot about it. I slightly have a background in number theory, abstract algebra and category theory, but no background in differential geometry, hence I would … " - Hodge theory notes

Hodge theory notes

$Math 847: p-adic Hodge Theory - University of Arizona$

NettetMath 847: p-adic Hodge Theory. Bryden Cais. Tu, Th, 11:00-12:15 am, Van Vleck B 129. 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 to this end is the study of (continuous) representations of G, an important class of which consists of ... NettetWe rst recall in more detail one of the comparison theorems from Hodge theory. Theorem 1.1.8 (Hodge decomposition). Let Y be a proper smooth variety over C. Then …

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NettetHodge theory, by Dolbeault, in the case of compact Kahler manifolds that uses not-that-much analysis and it is mostly algebro-geometric in spirit1 The basic idea is … http://www-personal.umich.edu/~ahorawa/math_679_p-adic_Hodge.pdf

NettetOver the past 2O years classical Hodge theory has undergone several generalizations of great interest in algebraic geometry. The papers in this volume reflect the recent developments in the areas of: mixed Hodge theory on the cohomology of singular and open varieties, on the rational homotopy of algebraic varieties, on the cohomology of a …

Nettet). 3 ∗ Note that for X/C smooth proper, the Hodge ﬁltration on HdR(X/C) does not split canonically: roughly, if it did, it would do so in a family, giving rise to a holomorphic splitting into (p, q)-parts, and this is not the case, such splittings are typically only C∞) 4 LECTURES ON P -ADIC HODGE THEORY BY BHARGAV BHATT NettetThis proceedings volume contains articles related to the research presented at the 2024 Simons Symposium on p-adic Hodge theory. This symposium was focused on recent developments in p-adic Hodge theory, especially those concerning integral questions and their connections to notions in algebraic topology. This volume features original …

http://people.brunel.ac.uk/~mastaak/Hodge_lectures.pdf

Nettet19 timer siden · Money: Talking Value #Value is the operative word in #money. • Medium of exchange. Money carries value in an exchange. • Measure of value. Money puts a… how to see autofill passwordsNettet4. sep. 2013 · I would recommend Voisin's "Hodge Theory and Complex Algebraic Geometry" as an introduction to Hodge theory--Volume I should suffice for your purposes. The book also does a bit of the Hodge theory of non-compact varieties, in Section 8.4. The relevant sections in Griffiths-Harris aren't bad either. Deligne's papers also require … how to see availability status in outlook1. ^ Chatterji, Srishti; Ojanguren, Manuel (2010), A glimpse of the de Rham era (PDF), working paper, EPFL 2. ^ Lefschetz, Solomon, "Correspondences Between Algebraic Curves", Ann. of Math. (2), Vol. 28, No. 1, 1927, pp. 342–354. 3. ^ Michael Atiyah, William Vallance Douglas Hodge, 17 June 1903 – 7 July 1975, Biogr. Mem. Fellows R. Soc., 1976, vol. 22, pp. 169–192. how to see availability in teamsNettet6. apr. 2024 · Top 25 Prospects: 2024 preseason. Top 20 Prospects: 2024 mid-year rankings. Top 20 Prospects: 2024 preseason. 1. Pete Crow-Armstrong, OF. Highest Level Reached: High-A South Bend. 90th Pct Exit Velocity: 102.3 mph. Crow-Armstrong possesses a mix of average to elite tools, with a profile that has an incredibly high floor … how to see available sd card space godmode9Nettetwhere the expression on the right is unique. Note that ˚ V is a linear functional on n pV. De nition 2.2. Let 2 V p V. We denote by the element of V n pV such that ˚ ( ) = h ; i; as given by Lemma 2.1. We call this operator the Hodge star operator. The case we are most interested in is when we have a compact orientable Rie-mannian manifold M. how to see available networks windows 10Nettet21. jul. 2014 · ebook. This book provides a comprehensive and up-to-date introduction to Hodge theory—one of the central and most vibrant areas of contemporary … how to see available vramhttp://www-personal.umich.edu/~serinh/Notes%20on%20p-adic%20Hodge%20theory.pdf how to see avatar