Supersingular Hecke modules as Galois representations

DOI10.2140/ant.2020.14.67zbMath1436.11058arXiv1803.02616OpenAlexW3106012317MaRDI QIDQ2305966

Elmar Grosse-Klönne

Publication date: 20 March 2020

Published in: Algebra \& Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.02616

zbMATH Keywords

Galois representationsupersingular modulepro-\(p\) Iwahori Hecke algebra\((\varphi,\Gamma)\)-module

Mathematics Subject Classification ID

(p)-adic theory, local fields (11F85)

Related Items (3)

On $$\psi $$-Lattices in Modular $$(\varphi ,\Gamma )$$-Modules ⋮ Representations of \(p\)-adic groups over commutative rings ⋮ A note on multivariable \((\varphi ,\Gamma )\)-modules

Cites Work

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• Parabolic induction and Hecke modules in characteristic \(p\) for \(p\)-adic GL\(_n\)
• From pro-\(p\) Iwahori-Hecke modules to \((\phi ,\Gamma)\)-modules. I.
• Galois representations and Lubin-Tate groups
• Smooth representations and Hecke modules in characteristic \(p\)
• Parabolic induction in characteristic \(p\)
• Pro-\(p\)-Iwahori Hecke ring and supersingular \(\bar{\text F}_p\)-representations
• \(l\)-modular representations of a \(p\)-adic reductive group with \(l\neq p\)
• A note on multivariable \((\varphi ,\Gamma )\)-modules
• Galois Representations and (Phi, Gamma)-Modules
• Coates–Wiles Homomorphisms and Iwasawa Cohomology for Lubin–Tate Extensions
• THE PRO-p-IWAHORI HECKE ALGEBRA OF A REDUCTIVEp-ADIC GROUP III (SPHERICAL HECKE ALGEBRAS AND SUPERSINGULAR MODULES)

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