A 2-ADIC CONTROL THEOREM FOR MODULAR CURVES

DOI10.1142/S1793042113500462zbMath1318.11063arXiv1504.00746OpenAlexW2009480461MaRDI QIDQ2850711

Narasimha Kumar

Publication date: 30 September 2013

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1504.00746

zbMATH Keywords

modular curveshomology groupsHida theorycontrol theorems

Mathematics Subject Classification ID

Congruences for modular and (p)-adic modular forms (11F33) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) (p)-adic theory, local fields (11F85) Holomorphic modular forms of integral weight (11F11) Iwasawa theory (11R23) Cohomology of arithmetic groups (11F75)

Cites Work

• Unnamed Item
• Galois representations into \(\text{GL}_2(\mathbb Z_pX)\) attached to ordinary cusp forms.
• On p-adic Hecke algebras for \(GL_ 2\) over totally real fields

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