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SYMMETRIC POWER CONGRUENCE IDEALS AND SELMER GROUPS (Q5116290)

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scientific article; zbMATH DE number 7238543

Language	Label	Description	Also known as
English	SYMMETRIC POWER CONGRUENCE IDEALS AND SELMER GROUPS	scientific article; zbMATH DE number 7238543

Statements

scholarly article

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SYMMETRIC POWER CONGRUENCE IDEALS AND SELMER GROUPS (English)

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Jacques Tilouine

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Journal of the Institute of Mathematics of Jussieu

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publication date

24 August 2020

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zbMATH Keywords

congruence module

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Hecke algebra

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universal Galois deformation ring

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MaRDI profile type

MaRDI publication profile

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Simple Algebras, Base Change, and the Advanced Theory of the Trace Formula. (AM-120)

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Automorphy for some \(l\)-adic lifts of automorphic mod \(l\) Galois representations. With Appendix A, summarizing unpublished work of Russ Mann, and Appendix B by Marie-France Vignéras.

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Représentations galoisiennes associées aux représentations automorphes autoduales de \(GL(n)\). (Galois representations associated with self-dual automorphic representations of \(GL(n)\))

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Level-raising and symmetric power functoriality, I

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Level raising and symmetric power functoriality. II

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The Taylor-Wiles construction and multiplicity one

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The local Langlands conjecture for \(\text{GSp}(4)\)

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Modularity lifting theorems for ordinary Galois representations

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Notes on modularity lifting in the ordinary case

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The Geometry and Cohomology of Some Simple Shimura Varieties. (AM-151)

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On symmetric power L-invariants of Iwahori level Hilbert modular forms

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Modules of Congruence of Hecke Algebras and L-Functions Associated with Cusp Forms

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CONTROL THEOREMS OF COHERENT SHEAVES ON SHIMURA VARIETIES OF PEL TYPE

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Functoriality for the exterior square of 𝐺𝐿₄ and the symmetric fourth of 𝐺𝐿₂

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Cuspidality of symmetric powers with applications.

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Functorial products for \(\text{GL}_2\times \text{GL}_3\) and the symmetric cube for \(\text{GL}_2\).

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-ADIC -FUNCTIONS FOR ORDINARY FAMILIES ON SYMPLECTIC GROUPS

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Galois representations attached to automorphic forms on over fields

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Local Euler characteristics

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Modularité, formes de Siegel et surfaces abéliennes

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A modular construction of unramified p-extensions of \(\mathbb{Q}(\mu_p)\)

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Siegel modular forms of genus 2 attached to elliptic curves

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Several-variable p-adic families of Siegel-Hilbert cusp eigensystems and their Galois representations

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Nearly ordinary rank four Galois representations and $p$-adic Siegel modular forms

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full work available at URL

https://doi.org/10.1017/s1474748018000476

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Identifiers

zbMATH Open document ID

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10.1017/S1474748018000476

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:5116290

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