THE EISENSTEIN IDEAL OF WEIGHT k AND RANKS OF HECKE ALGEBRAS

DOI10.1017/s1474748023000129arXiv2106.04551OpenAlexW3170669851MaRDI QIDQ6124461

Shaunak V. Deo

Publication date: 27 March 2024

Published in: Journal of the Institute of Mathematics of Jussieu (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2106.04551

zbMATH Keywords

Hecke algebraEisenstein idealdeformation ringspseudo-representations

Mathematics Subject Classification ID

Congruences for modular and (p)-adic modular forms (11F33) Galois representations (11F80) Hecke-Petersson operators, differential operators (one variable) (11F25)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Pseudodeformations
• Modular curves and the Eisenstein ideal
• On the ramification of Hecke algebras at Eisenstein primes
• A tameness criterion for Galois representations associated to modular forms (mod \(p\))
• Effect of increasing the ramification on pseudo-deformation rings
• The rank of Mazur's Eisenstein ideal
• Higher Eisenstein elements, higher Eichler formulas and rank of Hecke algebras
• The Eisenstein ideal with squarefree level
• Image of pseudo-representations and coefficients of modular forms modulo \(p\)
• Pseudorepresentations of weight one are unramified
• Eisenstein ideals and the rational torsion subgroups of modular Jacobian varieties. II.
• The p-adic analytic space of pseudocharacters of a profinite group and pseudorepresentations over arbitrary rings
• Congruences Between Systems of Eigenvalues of Modular Forms
• On the Galois structure of the class group of certain Kummer extensions
• L'accouplement de Weil entre le sous-groupe de Shimura et le sous-groupe cuspidal de J0(p).
• DEFORMATION CONDITIONS FOR PSEUDOREPRESENTATIONS
• Class groups of Kummer extensions via cup products in Galois cohomology
• Level 1 Hecke algebras of modular forms modulo
• Vanishing of eigenspaces and cyclotomic fields
• LISSITÉ DE LA COURBE DE HECKE DE $\mathrm{GL}_2$ AUX POINTS EISENSTEIN CRITIQUES

This page was built for publication: THE EISENSTEIN IDEAL OF WEIGHT k AND RANKS OF HECKE ALGEBRAS