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Eisenstein congruences for split reductive groups - MaRDI portal

Eisenstein congruences for split reductive groups (Q739811)

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Language	Label	Description	Also known as
English	Eisenstein congruences for split reductive groups	scientific article

Statements

scholarly article

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Eisenstein congruences for split reductive groups (English)

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zbMATH Open document ID

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10.1007/s00029-015-0211-0

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Jonas Bergström

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Selecta Mathematica. New Series

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publication date

22 August 2016

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full work available at URL

https://arxiv.org/abs/1502.07827

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http://eprints.whiterose.ac.uk/110210/1/eiscong8.pdf

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Mathematics Subject Classification ID

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zbMATH DE Number

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zbMATH Keywords

congruences of modular forms

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Harder's conjecture

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Bloch-Kato conjecture

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MaRDI profile type

MaRDI publication profile

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Vector valued Siegel's modular forms of degree two and the associated Andrianov \(L\)-functions

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EVERYWHERE UNRAMIFIED AUTOMORPHIC COHOMOLOGY FOR <font>SL</font><sub>3</sub>(ℤ)

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Eisenstein Congruences for SO(4, 3), SO(4, 4), Spinor, and Triple Product<i>L</i>-values

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Siegel modular forms of degree three and the cohomology of local systems

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Siegel Modular Forms of Genus 2 and Level 2: Cohomological Computations and Conjectures

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Saito–Kurokawa lifts and applications to the Bloch–Kato conjecture

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The conjectural connections between automorphic representations and Galois representations

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Modular curves and the Eisenstein ideal

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Visualizing Elements in the Shafarevich—Tate Group

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The Tamagawa number conjecture of adjoint motives of modular forms

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Non-optimal levels of \(\text{mod }l\) modular representations

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SYMMETRIC SQUARE L-FUNCTIONS AND SHAFAREVICH–TATE GROUPS, II

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A Simple Trace Formula for Algebraic Modular Forms

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Symmetric Square L-Functions and Shafarevich-Tate Groups

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Ramanujan-style congruences of local origin

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Some Siegel modular standard \(L\)-values, and Shafarevich-Tate groups

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On the cohomology of local systems on the moduli spaces of curves of genus 2 and of abelian surfaces. I

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Arithmetical lifting and its applications

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Congruences to Ikeda-Miyawaki lifts and triple \(L\)-values of elliptic modular forms

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Congruence Between a Siegel and an Elliptic Modular Form

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Eisenstein cohomology and the construction of mixed motives

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Pullback of the lifting of elliptic cusp forms and Miyawaki's conjecture

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Congruence of Siegel modular forms and special values of their standard zeta functions

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Congruences for Hecke eigenvalues of Siegel modular forms

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Zum Darstellungssatz für Siegelsche Modulformen

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Lie groups beyond an introduction

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Congruences between Siegel modular forms of degree two

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On the cuspidal cohomology of arithmetic groups

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Class fields of abelian extensions of \(\mathbb Q\)

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NUMERICAL EXAMPLES OF SIEGEL CUSP FORMS OF DEGREEE 3 AND THEIR ZETA-FUNCTIONS

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Congruences for eigenvalues of Hecke operators on Siegel modular forms of degree two

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Cohomology of local systems on the moduli of principally polarized abelian surfaces

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

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On modular representations of \(\text{Gal}(\overline{\mathbb Q}/\mathbb Q)\) arising from modular forms

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On certain vector valued Siegel modular forms of degree two

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The Iwasawa Main Conjectures for \(\mathrm{GL}_{2}\)

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Jacobi forms and a certain space of modular forms

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Selmer groups and the Eisenstein-Klingen ideal.

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Siegel Modular Forms and Their Applications

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Existence of Whittaker models related to four dimensional symplectic Galois representations

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Non-optimal levels of a reducible mod $\ell $ modular representation

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Sitelinks

Mathematics(1 entry)

mardi Publication:739811

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