Hodge theory of p-adic varieties: a survey

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August undefined, 2024

Nettet22. 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 ... 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, …

Hodge theory of $p$-adic varieties: a survey

Nettet21. apr. 2024 · In Sects. 15 and 16, we illustrate the p-adic Hodge theory of formal groups by two applications: complex multiplication of abelian varieties and Hilbert pairings on formal groups. In Sect. 17 , we prove the theorem “weakly admissible $\Rightarrow $ admissible" in the case of dimension one by the method of Laffaille [ 102 ]. 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 … how far away is ireland from california

AN INTRODUCTION TO THE THEORY OF -ADIC REPRESENTATIONS

NettetHODGE THEORY OF p-ADIC VARIETIES: A SURVEY WIESL AWA NIZIOL Abstract. p-adic Hodge Theory is one of the most powerful tools in modern Arithmetic Geom … 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. Nettet11. apr. 2024 · Pavel Etingof, Nate Harman, Victor Ostrik. p-adic dimensions in symmetric tensor categories in characteristic p. Quantum Topology 9 (2024), no. 1, pp. 119-140. DOI:10.4171/QT/104 arXiv:1510.04339 how far away is ireland from france

arXiv:2005.07919v1 [math.NT] 16 May 2024

Nettet20. 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 … 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 on 2024-04-24 with total page 0 pages. Available in PDF, EPUB and Kindle. how far away is iowa from indianaNetteta possible link between p-adic Hodge theory for Gal(Q p/Q p) (or the Weil group of Q p) on the one side and the theory of p-adic and modulo p rep-resentations of GL 2(Q p) on the other side (not to mention GL n of a p-adic local ﬁeld!). In other terms, to suggest hypothetic continuous p-adic and modulo p Langlands correspondences. how far away is ireland from london

"Nettet11. 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 … " - Hodge theory of p-adic varieties: a survey

Hodge theory of p-adic varieties: a survey

NettetINTRODUCTION TO p-ADIC HODGE THEORY 3 plays a cental technical role. Here we cite one of the most recent results from Kisin5 which depends on the known case of p … NettetThe Fields Medal is a prize awarded to two, three, or four mathematicians under 40 years of age at the International Congress of the International Mathematical Union (IMU), a meeting that takes place every four years. The name of the award honours the Canadian mathematician John Charles Fields.. The Fields Medal is regarded as one of the …

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NettetHodge theory of p-adic varieties: a survey Wiesława Nizioł (Paris) WojciechowiRytterowi,wpodziękowaniuzanieocenionąpomoc Abstract. p … 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 ...

Nettet17. mai 2013 · -ADIC HODGE THEORY FOR RIGID-ANALYTIC VARIETIES - Volume 1. ... Syntomic cohomology and p-adic regulators for varieties over p-adic fields. Algebra & Number Theory, Vol. 10, Issue. 8, p. 1695. ... Survey on some aspects of Lefschetz theorems in algebraic geometry. Nettet1 language. 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 [1] with residual characteristic p (such as Qp ). The theory has its beginnings in Jean-Pierre Serre and John Tate 's study of Tate modules of abelian varieties and the notion of ...

NettetAN INTRODUCTION TO p-ADIC HODGE THEORY DENIS BENOIS Abstract.These notes provide an introduction to p-adic Hodge theory. They are based on the series of … 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

NettetLecture 5: p-adic Hodge Theory November 29, 2024 Lecture 5: p-adic Hodge Theory. Riemann-Hilbert for Local Systems ... Understand (p-adic) local systems on smooth …

Nettet• Hodge Theory of p-adic varieties: a survey, Ann. Polon. Math. 127 (2024), 63-86. • p-adic étale cohomology of period domains (with Pierre Colmez, Gabriel Dospinescu, … how far away is ireland from scotlandNettetWe study the Hodge standard conjecture for varieties over finite fields admitting a CM lifting, such as abelian varieties or products of K3 surfaces. For those varieties we show that the signature predicted by the conjecture holds true modulo $4$. This amounts to determining the discriminant and the Hilbert symbol of the intersection product. The first … how far away is issNettetwe 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 … how far away is ireland from the ukNettetA 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 … hiding and finding objectsNettetp-ADIC HODGE THEORY FOR RIGID-ANALYTIC VARIETIES PETER SCHOLZE Abstract. We give proofs of de Rham comparison isomorphisms for rigid-analytic … how far away is ireland from russia how far away is italy from the ukNettetAuthor: Farrell Brumley Publisher: American Mathematical Soc. ISBN: 147043573X Category : Algebraic number theory Languages : en Pages : 376 Download Book. Book Description This volume contains the proceedings of the international conference ``Around Langlands Correspondences'', held from June 17-20, 2015, at Universite Paris Sud in … hiding and seeking documentary