Hodge tate period map
Nettet5. Perfectoid Shimura varieties and the Hodge-Tate period morphism 37 5.1. Siegel modular varieties with in nite level at pare perfectoid 37 6. Project description: The nilpotent ideal 48 References 49 1. Introduction One of the famous consequences of the Langlands program is the theorem that all elliptic curves over Q are modular [Wil95, … NettetThus, we prove new results on the p-adic geometry of Shimura varieties (of Hodge type). Namely, the Shimura varieties become perfectoid when passing to the inverse limit over all levels at p, and a new period map towards the flag variety exists on them, called the Hodge-Tate period map. It is roughly analogous to the embedding of the hermitian
Hodge tate period map
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Nettet20. jun. 2024 · namely it is used to define Hodge-Tate period maps as in [Sch15], [CS17] and [CS19], which is. applied to prove the modularity theorem, and man y other important results in [ACC + 18]. NettetLe migliori offerte per Period Mappings and Period Domains by James Carlson (English) Paperback Book sono su eBay Confronta prezzi e caratteristiche di prodotti nuovi e usati Molti articoli con consegna gratis!
Nettet7. jul. 2024 · We reinterpret the construction of these maps in terms of the Hodge-Tate period map and the perfectoid modular curve. Thirdly, in a joint work with Joaquín Rodrigues Jacinto, ... NettetIn mathematics, a Hodge–Tate module is an analogue of a Hodge structure over p-adic fields. Serre introduced and named Hodge–Tate structures using the results of Tate on …
Nettetery of the Hodge-Tate period map out of a Siegel Shimura variety with in nite level at p[5]. This construction was then generalized by Caraiani-Scholze (resp. Shen) to arbitrary … Nettet31. des. 1995 · Namely, the Shimura varieties become perfectoid when passing to the inverse limit over all levels at p, and a new period map towards the ag variety exists on them, called the Hodge-Tate period map. It is roughly analogous to the embedding of the hermitian symmetric domain (which is roughly the inverse limit over all levels of the …
NettetThe Hodge-Tate period map is an important, new tool for studying the geometry of Shimura varieties, p-adic automorphic forms and torsion classes in the cohomology of Shimura varieties. It is a G(A_f)-equivariant map from a perfectoid Shimura variety into a flag variety with only an action of G(Q_p) and can be thought of as a p-adic analogue of …
Nettet2.8. Hodge{Tate decomposition40 2.9. Generic bers of p-divisible groups57 3. Period rings and functors60 3.1. Fontain’s formalism on period rings60 3.2. De Rham representations69 3.3. Properties of de Rham representations83 3.4. Crystalline representations93 References95 1. Introduction 1.1. A rst glimpse of p-adic Hodge … nabisco biscos sugar wafersFinally, let us explain the proof of the perversity result. Let be any compact Shimura variety of PEL type with hyperspecial level at . To motivate, recall two useful results for perverse sheaves in algebraic geometry: 1. Any simple perverse sheaf on a scheme of finite type is of the form for some locally closed subscheme and a … Se mer Recall our set-up. Let be a PEL datum of type A: 1. is a finite dimensional simple -algebra with center a CM field . 2. is positive involution of … Se mer Now let us come to the second main result, which asserts the "generic part" of the cohomology of our compact unitary Shimura varieties … Se mer medication lookup by lot numberNettetFrom the Hodge-to-de Rham and the Hodge-Tate spectral sequence, one obtains abutments filtrations that we call the Hodge-de Rham filtration and the Hodge-Tate filtration. Their variation in families defines interesting period maps as we will recall in the next sections. 3. Period maps from de Rham cohomology medication look alike otchttp://davidrenshawhansen.com/periodmapmod.pdf medication loneliness and depressionNettetag variety exists on them, called the Hodge-Tate period map. It is roughly analogous to the embedding of the hermitian symmetric domain (which is roughly the inverse limit over all levels of the complex points of the Shimura variety) into its compact dual. The Hodge-Tate period map has several favorable properties, the most important being that ... medication look alike letteringNettetHodge-Tate decompositions for Siegel varieties [ PDF] In this talk we will sketch a new proof of the Hodge-Tate decompositions for the proétale cohomology of Siegel varieties. The idea behind is to apply the BGG method of Faltings via the Hodge-Tate period map and the infinite level Siegel variety. ANTONIO CAUCHI, Concordia University. medication look up for studentsNettet4. nov. 2024 · The Hodge–Tate period map can be thought of as a p-adic analogue of the Borel embedding. However, unlike its complex counterpart, it is not injective, and the pushforward of the constant sheaf via the Hodge–Tate period map encodes interesting arithmetic information. nab investor loan rates