A family of irreducible supersingular representations of GL2(F) for some ramified p-adic fields

Michael M. Schein

doi:10.1007/s11856-022-2460-x

A family of irreducible supersingular representations of GL₂(F) for some ramified p-adic fields

Michael M. Schein

Department of Mathematics

Bar-Ilan University

Research output: Contribution to journal › Article › peer-review

Abstract

We construct infinite families of irreducible supersingular mod p representations of GL₂(F) with GL ₂(O_F) -socle compatible with Serre’s modularity conjecture, where F/ℚ_p is any finite extension with residue field Fp2 and ramification degree e ≤ (p − 1)/2. These are the first such examples for ramified F/ℚ_p.

Original language	English
Pages (from-to)	911-930
Number of pages	20
Journal	Israel Journal of Mathematics
Volume	255
Issue number	2
DOIs	https://doi.org/10.1007/s11856-022-2460-x
State	Published - Jun 2023

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1007/s11856-022-2460-x

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title = "A family of irreducible supersingular representations of GL2(F) for some ramified p-adic fields",

abstract = "We construct infinite families of irreducible supersingular mod p representations of GL2(F) with GL 2(OF) -socle compatible with Serre{\textquoteright}s modularity conjecture, where F/ℚp is any finite extension with residue field Fp2 and ramification degree e ≤ (p − 1)/2. These are the first such examples for ramified F/ℚp.",

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AB - We construct infinite families of irreducible supersingular mod p representations of GL2(F) with GL 2(OF) -socle compatible with Serre’s modularity conjecture, where F/ℚp is any finite extension with residue field Fp2 and ramification degree e ≤ (p − 1)/2. These are the first such examples for ramified F/ℚp.

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DO - 10.1007/s11856-022-2460-x

M3 - مقالة

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JO - Israel Journal of Mathematics

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A family of irreducible supersingular representations of GL₂(F) for some ramified p-adic fields

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