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Hodge theory of p-adic varieties: a survey

Nettet2. apr. 2006 · We discuss classical questions concerning traces of elements of Galois groups or correspondences in ℓ-adic cohomology, mostly over finite or local fields, such as rationality and independence of ℓ, integrality, congruences modulo powers of ℓ or p. We report on the progress that has been made on this topic during the past ten years. Nettet3. Selmer complexes and p-adic Hodge theory Denis Benois 4. A survey of applications of the circle method to rational points T. D. Browning 5. Arithmetic differential equations of Painlevé VI type Alexandru Buium and Yuri I. Manin 6. Differential calculus with integers Alexandru Buium 7.

p-adic Hodge Theory, Singular Varieties, and Non-Abelian Aspects

Nettet16. jan. 2024 · We construct a new cohomology theory for proper smooth (formal) schemes over the ring of integers of \mathbf {C}_ {p}. It takes values in a mixed-characteristic analogue of Dieudonné modules, … NettetDownload or read book p-adic Hodge Theory, Singular Varieties, and Non-Abelian Aspects written by Bhargav Bhatt and published by Springer. This book was released … family health outcomes project https://workfromyourheart.com

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http://web.mit.edu/redingtn/www/netadv/Xhodgetheo.html Nettetp-ADIC GEOMETRY PETER SCHOLZE Abstract. We discuss recent developments in p-adic geometry, ranging from foundational results such as the degeneration of the Hodge-to-de Rham spectral sequence for “compact p-adic manifolds” over new period maps on moduli spaces of abelian varieties to applications to the local and global Langlands NettetBuy the Kobo ebook Book p-adic Hodge Theory, Singular Varieties, and Non-Abelian Aspects by Bhargav Bhatt at Indigo.ca, Canada's largest bookstore. Free shipping and pickup in store on eligible orders. Previous . Up to 70% off Clearance. We're back! But our inventory is playing catch up. family health orlando

Hodge Theory of $p$-adic varieties: a survey - NASA/ADS

Category:(PDF) Cohomological Descent for Faltings

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Hodge theory of p-adic varieties: a survey

AN INTRODUCTION TO THE THEORY OF -ADIC REPRESENTATIONS

Nettetwe have established analogues of the basic results of Hodge theory for \compact p-adic manifolds", have constructed a \universal" p-adic cohomology theory, and have made … Nettet29. sep. 2013 · The purpose of this paper is to give an analog of the above results for syntomic cohomology. Namely, we will show that the syntomic cohomology introduced in [49] is a p-adic absolute Hodge ...

Hodge theory of p-adic varieties: a survey

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NettetHodge theory of p-adic varieties: a survey Wiesława Nizioł (Paris) WojciechowiRytterowi,wpodziękowaniuzanieocenionąpomoc Abstract. p … Nettet8. mai 2024 · This essay aims to explain the proof of the Hodge-Tate decomposition for abelian varieties over p-adic fields, followed by a survey on the foundations of p-adic …

NettetA young person's guide to mixed Hodge modules by Morihiko Saito [2016/05] Type: NON-ABELIAN: Introduction to Nonabelian Hodge Theory: flat connections, Higgs bundles and complex variations of Hodge structure by Alberto Garcia-Raboso and Steven Rayan [2014/06] Type: P-ADIC: Hodge theory of p-adic varieties: A survey by W. Nizioł … Nettet15. mai 2012 · p-adic Hodge theory for rigid-analytic varieties Peter Scholze We give proofs of de Rham comparison isomorphisms for rigid-analytic varieties, with …

Nettet15. jun. 2024 · This 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 … Nettet24. jun. 2013 · Download a PDF of the paper titled $p$-adic Hodge theory in rigid analytic families, by Rebecca Bellovin Download PDF Abstract: We study the functors …

Nettetp-ADIC HODGE THEORY FOR RIGID-ANALYTIC VARIETIES PETER SCHOLZE Abstract. We give proofs of de Rham comparison isomorphisms for rigid-analytic …

NettetInspired by Deligne's approach to classical Hodge theory for singular varieties, we establish a cohomological descent result for the structural sheaf of Faltings topos, which makes it possible to ... cooks brutNettet11. jan. 2024 · 32. I was going over P. Scholze's paper on p -adic Hodge Theory for rigid analytic varieties. This question is around the " Poincaré Lemma " in the paper. Throughout, let X be a proper smooth rigid analytic variety over Q p, of pure dimension d. Corollary 6.13 says that the " B d R -version" of the Poincaré Lemma for de Rham-étale … cooks brothers funeral homeNettet22. des. 2014 · 5. 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 varieties over Q with everywhere good reduction (or very little ramification). The earliest result of this kind is Fontaine's theorem: there is no abelian variety over Q with everywhere good ... cooks brushes norwich ltdNettet24. feb. 2024 · More precisely, we consider a p-adic local system on a rigid analytic variety over a p-adic field and show that the multiset of generalized Hodge-Tate … cooks brothers warehouse in chicagoNettetDownload or read book p-adic Hodge Theory, Singular Varieties, and Non-Abelian Aspects written by Bhargav Bhatt and published by Springer. This book was released on 2024-04-24 with total page 0 pages. Available in PDF, EPUB and Kindle. family health partnershipNettetBook Title: p-adic Hodge Theory, Singular Varieties, and Non-Abelian Aspects. Editors: Bhargav Bhatt, Martin Olsson. Series Title: Simons Symposia. DOI: … family health overland parkNettet20. okt. 2024 · Via the relative fundamental exact sequence of -adic Hodge theory, we determine the geometric -adic pro-étale cohomology of the Drinfeld symmetric spaces … cooks brut 187ml