An explicit computation of the Hecke operator and the ghost conjecture

DOI10.1007/s40993-023-00447-9arXiv2011.07708OpenAlexW4377098861WikidataQ122906766 ScholiaQ122906766MaRDI QIDQ6098529

Nha Xuan Truong

Publication date: 14 June 2023

Published in: Research in Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2011.07708

zbMATH Keywords

overconvergent modular formsGouvêa's conjectureghost conjectureslope of \(U_p\) operators

Mathematics Subject Classification ID

Congruences for modular and (p)-adic modular forms (11F33)

Cites Work

• Reduction mod \(p\) of cuspidal representations of \(\text{GL}_2(\mathbb F_{p^n})\) and symmetric powers.
• A counterexample to the Gouvêa-Mazur conjecture
• The eigencurve over the boundary of weight space
• Slopes of eigencurves over boundary disks
• Arithmetic properties of Fredholm series forp-adic modular forms
• The Fontaine-Mazur conjecture for $ {GL}_2$
• Families of Modular Eigenforms
• The 2-adic eigencurve at the boundary of weight space
• Slopes of modular forms and the ghost conjecture, II
• Slopes of Modular Forms and the Ghost Conjecture
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