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

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

1 Scopus citations

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

Bibliographical note

Publisher Copyright:
© 2022, The Hebrew University of Jerusalem.

Funding

The author is grateful to Christophe Breuil, Toby Gee, Eknath Ghate, Jesper Lykke Jacobsen, Nathan Keller, Daniel Le, Stefano Morra, and Mihir Sheth for helpful correspondence and conversations and for comments on an earlier version of this work, and to the anonymous referee for a careful reading of the text and for suggestions that have improved the exposition.

Access to Document

10.1007/s11856-022-2460-x

Cite this

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