Effect of increasing the ramification on pseudo-deformation rings
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Publication:2155601
DOI10.5802/jtnb.1198zbMath1501.11060arXiv1907.06608OpenAlexW2889537807MaRDI QIDQ2155601
Publication date: 15 July 2022
Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1907.06608
Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Congruences for modular and (p)-adic modular forms (11F33) Galois representations (11F80) Representation-theoretic methods; automorphic representations over local and global fields (11F70)
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Cites Work
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- Pseudodeformations
- Structure of Hecke algebras of modular forms modulo \(p\)
- On the modularity of reducible \(\mathrm{mod}\;l\) Galois representations
- Families of Galois representations - increasing the ramification
- Relations between \(K_2\) and Galois cohomology
- The generic fiber of the universal deformation space associated to a tame Galois representation
- Characterization of characters and pseudo-characters
- Image of pseudo-representations and coefficients of modular forms modulo \(p\)
- On the density of modular points in universal deformation spaces
- The p-adic analytic space of pseudocharacters of a profinite group and pseudorepresentations over arbitrary rings
- The Fontaine-Mazur conjecture for $ {GL}_2$
- Non-optimal levels of a reducible mod $\ell $ modular representation
- Congruences Between Systems of Eigenvalues of Modular Forms
- Explicit Universal Deformations of Even Galois Representations
- A local-to-global principle for deformations of Galois representations
- Level 1 Hecke algebras of modular forms modulo
- Universal deformation rings need not be complete intersections
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