From p-modular to p-adic Langlands Correspondences for $${\mathrm {U}(1,1)({\mathbb {Q}_{{p}^{2}}}/\mathbb {Q}_{p})}$$ : Deformations in the Non-supercuspidal Case
DOI10.1007/978-3-030-77700-5_1OpenAlexW4210796414MaRDI QIDQ5048625
Beth Romano, Agnès David, Hanneke Wiersema, Ramla Abdellatif
Publication date: 16 November 2022
Published in: Association for Women in Mathematics Series (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2009.03174
deformation theory\(p\)-adic unitary groupsnon-supercuspidal representations\(p\)-adic Langlands correspondences
Representation theory for linear algebraic groups (20G05) Galois representations (11F80) Representations of Lie and linear algebraic groups over local fields (22E50) Representation-theoretic methods; automorphic representations over local and global fields (11F70)
Cites Work
- A classification of the irreducible mod-\(p\) representations of \(U(1,1)(\mathbb{Q}_{p^2}/\mathbb{Q}_p)\)
- Automorphy for some \(l\)-adic lifts of automorphic mod \(l\) Galois representations. With Appendix A, summarizing unpublished work of Russ Mann, and Appendix B by Marie-France Vignéras.
- Modular multiplicities and representations of \(\text{GL}_2(\mathbb Z_p)\) and \(\text{Gal}(\overline{\mathbb Q}_p/\mathbb Q_p)\) at \(\ell=p\)
- General Serre weight conjectures
- \(G\)-valued local deformation rings and global lifts
- Potentially crystalline deformation rings and Serre weight conjectures: shapes and shadows
- Functorial properties of generalised Steinberg representations
- Modular elliptic curves and Fermat's Last Theorem
- \(l\)-modular representations of a \(p\)-adic reductive group with \(l\neq p\)
- On some nonadmissible smooth irreducible representations for \(\mathrm{GL}_2\)
- The conjectural connections between automorphic representations and Galois representations
- Towards a modulo 𝑝 Langlands correspondence for 𝐺𝐿₂
- A classification of irreducible admissible mod 𝑝 representations of 𝑝-adic reductive groups
- Le programme de Langlands $p$-adique
- p-Adic Lie Groups
- The Fontaine-Mazur conjecture for $ {GL}_2$
- L-Indistinguishability For SL (2)
- Un calcul d’anneaux de déformations potentiellement Barsotti–Tate
- Deformation rings and parabolic induction
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