On the universal mod \(p\) supersingular quotients for \(\mathrm{GL}_{2}(F)\) over \(\overline{\mathbb{F}}_p\) for a general \(F/\mathbb{Q}_p\)

DOI10.1016/J.JALGEBRA.2018.10.021zbMath1454.11213arXiv1506.08050OpenAlexW1581888586MaRDI QIDQ1628492

Yotam I. Hendel

Publication date: 4 December 2018

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.08050

zbMATH Keywords

Galois representationssupersingular representationsmod p local Langlands correspondenceweight part of Serre's conjecture

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Galois representations (11F80) Langlands-Weil conjectures, nonabelian class field theory (11S37)

Related Items (5)

Diagrams and Mod p Representations of p-adic Groups ⋮ A family of irreducible supersingular representations of \(\mathrm{GL}_2(F)\) for some ramified \(p\)-adic fields ⋮ The pro-p-Iwahori invariants of the universal quotient representation for GL2(F) ⋮ A note on presentations of supersingular representations of \(\mathrm{GL}_2(F)\) ⋮ Iwahori-Hecke model for mod \(p\) representations of \(\mathrm{GL}(2,F)\)

Cites Work

• Unnamed Item
• Unnamed Item
• On the universal supersingular mod \(p\) representations of \(\mathrm{GL}_2(F)\)
• On some representations of the Iwahori subgroup
• The classification of irreducible admissible mod \(p\) representations of a \(p\)-adic \(\mathrm{GL}_n\)
• Weights in Serre's conjecture for Hilbert modular forms: the ramified case
• Irreducible modular representations of GL\(_ 2\) of a local field
• On the presentation of supersingular representations of \(\mathrm{GL}_2(F)\)
• Serre weights for rank two unitary groups
• Towards a modulo 𝑝 Langlands correspondence for 𝐺𝐿₂
• An irreducibility criterion for supersingular $\mathbf{mod}$ $p$ representations of $\operatorname{GL}_{2}(F)$ for totally ramified extensions $F$ of $\mathbb{Q}_{p}$
• Le foncteur des invariants sous l'action du pro-p-Iwahori de GL2(F)
• The p-adic valuation of k-central binomial coefficients
• Representations modulo p of the p-adic group GL(2, F)
• The Permutation Modules for GL(n +1, F _q ) Acting on P ⁿ (F _q ) and Fqn+1
• Serre's Modularity Conjecture
• THE WEIGHT PART OF SERRE’S CONJECTURE FOR
• Binomial Coefficients Modulo a Prime

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