Multiplicities of cohomological automorphic forms on \(\mathrm{GL}_2\) and \(\mod p\) representations of \(\mathrm{GL}_2(\mathbb{Q}_p)\)
From MaRDI portal
Publication:824409
DOI10.4171/JEMS/1078zbMath1487.11054arXiv1801.10074OpenAlexW3186430564MaRDI QIDQ824409
Publication date: 15 December 2021
Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1801.10074
Representations of Lie and linear algebraic groups over local fields (22E50) Representation-theoretic methods; automorphic representations over local and global fields (11F70) Cohomology of arithmetic groups (11F75)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The image of Colmez's Montreal functor
- Bounds for the multiplicities of cohomological automorphic forms on \(\mathrm{GL}_2\)
- Hilbert-Samuel multiplicities of certain deformation rings
- Explicit description of irreducible \(\mathrm{GL}_2(\mathbb{Q}_p)\)-representations over \(\bar {\mathbf F}_{p}\)
- Bounds for multiplicities of unitary representations of cohomological type in spaces of cusp forms
- Bounds for multiplicities of automorphic representations
- Irreducible modular representations of GL\(_ 2\) of a local field
- On crystabelline deformation rings of \(\mathrm{Gal}(\overline{\mathbb {Q}}_p/\mathbb {Q}_p)\) (with an appendix by Jack Shotton)
- Modular representations of \(GL_ 2\) of a local field: The ordinary, unramified case
- On the Breuil-Mézard conjecture
- On the density of supercuspidal points of fixed regular weight in local deformation rings and global Hecke algebras
- Ring-theoretic properties of Iwasawa algebras: a survey.
- On discontinuous groups operating on the product of the upper half planes
- The Breuil-Mezard conjecture for non-scalar split residual representations
- Invariant elements for $p$-modular representations of ${\mathbf {GL}}_{2}({\mathbf {Q}}_p)$
- Towards a modulo 𝑝 Langlands correspondence for 𝐺𝐿₂
- Completed cohomology – a survey
- The Fontaine-Mazur conjecture for $ {GL}_2$
- The Cohomology of Lattices in SL(2, ℂ)
- Extensions for supersingular representations of $GL_2(Q_p)$
- On effaceability of certain $\delta$-functors
- Differential Operators on Spaces of Variable Integrability